Q. 1 To solve the ordinary differential equation

, by Euler’s method, you need to rewrite the equation as

A.

B.

C.

D.

Q. 2 Given

      and using a step size of h=0.3, the value of y(0.9) using Euler’s method is most nearlyA. -35.318 B. -36.458C. -658.91 D. -669.05

Q 3. Given

            and using a step size of h=0.3, the best estimate of dy/dx(0.9) using Euler’s method is most nearly isA. -0.37319 B. -0.36288C. -0.35381 D. -34341

Q 4. The velocity (m/s) of a body is given as a function of time (seconds) byv(t)=200 ln(1+t) -t, t≥0Using Euler’s method with a step size of 5 seconds, the distance in meters traveled by the body from t=2 to t=12 seconds is most nearlyA.3133.1 B.3939.7C.5638.0 D.39397

Q 5. Euler’s method can be derived by using the first two terms of the Taylor

series of writing the value of  , that is the value of  at  ,  in terms of   

and all the derivatives of  at  .  If  , the explicit expression for if the first three terms of the Taylor series are chosen for the ordinary differential equation

            would be

A.

B.

C.

D.

Q 6. A homicide victim is found at 6:00PM in an office building that is maintained at 72˚F.  When the victim was found, his body temperature was at 85 ˚F.  Three hours later at 9:00PM, his body temperature was recorded at 78˚F. Assume the temperature of the body at the time of death is the normal human body temperature of 98.6˚F. The governing equation for the temperature θ of the body is

            where

             = temperature of the body, ˚F            θa = ambient temperature, ˚F            t = time, hours            k = constant based on thermal properties of the body and air.The estimated time of death most nearly is

A.2:11 PM B.3:13 PMC.4:34 PM D.5:12 PM

Q 7. If production output doubles, variable costs PER UNIT will:a.Reduce by half B. DoubleC. Remain constant D. None of these

Q 8. If production output halves, fixed costs PER UNIT will:a.Reduce by half B. DoubleC. Remain constant D. None of these

Q 9. A cost that behaves in the following way is a:

A.Fixed cost B. Variable costC. Mixed cost D. Step costs

Q. 10 In describing the cost equation, Y = a + bX, ‘a’ is:A. the dependent variable, cost.B. the independent variable, the level of activity.C. the total fixed costs.D. the variable cost per unit of activity.

Q. 11 Jay PLC made 500 units of product Y in April with a total cost of £10,000, and 800 units in May with a total cost of £13,000 Using the high/low method of analysing costs, what will be their total cost in June, if they make 700 units? A. £12,000 B. £14,000C. £11,375 D. £11,375

Q. 12 The difference between a random variable and a probability distribution isA. A random variable does not include the probability of an event.B A random variable can only assume whole numbers.C. A probability distribution can only assume whole numbers.D. None of the above.

Q. 13 Which of the following is not a requirement of a binomial distribution?A. constant probability of success.B. Only two possible outcomes.C. A fixed number of trials.D. Equally likely outcomes.

Q. 14 The mean and the variance are equal inA. All probability distributions.B. The binomial distribution.C. The Poisson distribution.D. The hypergeometric distribution.

Q.15 In which of the following distributions is the probability of a success usually small?A. BinomialB. PoissonC. HypergeometricD. All distribution

Q. 16 Which of the following is not a requirement of a probability distribution?A. Equally likely probability of a success.B. Sum of the possible outcomes is 1.00.C. The outcomes are mutually exclusive.D. The probability of each outcome is between 0 and 1.

Q. 17 For a binomial distributionA. n must assume a number between 1 and 20 or 25.B. p must be a multiple of .10.

C. there must be at least 3 possible outcomes.D. None of the above.

Q. 18 Which of the following is a major difference between the binomial and the hypergeometric distributions?A. The sum of the outcomes can be greater than 1 for the hypergeometric.B. The probability of a success changes in the hypergeometric distribution.C. The number of trials changes in the hypergeometric distribution.D. The outcomes cannot be whole numbers in the hypergeometric distribution.

Q. 19 In a continuous probability distributionA. Only certain outcomes are possible.B. All the values within a certain range are possible.C. The sum of the outcomes is greater than 1.00.D.None of the above.

Q. 20 For a binomial distribution with n = 15 as p changes from .50 toward .05 the distribution willA. Become more positively skewed.B. Become more negatively skewed.C. Become symmetrical.D. All of the above.

Q. 21 The expected value of the random variableA. Will also be the most likely value of the random variable.B. Is another term for the mean value.C. Is also called the variance.D. Cannot be greater than 1.

Q. 22 The weekly salaries of a group of employees are normally distributed with a mean of £200 and a standard deviation of £40. What is the probability that the salary of an employee taken at random will be £250 or more? A.0.1056 B.0.2234C. 0.3944 D.0.3413

Q.23 What proportion of salaries are at least £180 but no more that £230? A. 0.3830 B. 0.4649C. 0.1915 D. 0.2734

Q.24. A company finds that the useful life of its computers is normally distributed with a mean of 3.5 years and a standard deviation of 0.4 years. Historically 22% of the computers have a useful life less than the computer manufacturer's advertised life. What is the manufacturer's advertised life for the computers? A. 3.250 years B. 3.500 yearsC. 3.192 years D. 2.975 years

Q. 25. Assume that the time spent on the internet by a group of students is normally distributed. The probability of a session lasting 36 or more minutes is 0.1 and the probability of a session lasting less than 12 minutes is 0.33. What is the mean time spent on the internet? A. 17.54 minutes B. 24.00 minutesC. 18.14 minutes D. 20.50 minutes

Q. 26 A firm estimates that the probability of having an employee off sick on any one day is 0.10. What is the probability that the firm experiences six days without a worker off sick? A. 0.001 B. 0.531C. 0.500 D.0.765

Q. 27 What is the probability of at least two days with someone off sick in a twenty day period? A. 0.472 B. 0.608C. 0.392 D. 0.576

Q. 28 Under what conditions do the binomial and Poisson distributions give approximately the same results? A.When p is small and n is smallB.When p and q are equal and n is smallC.When p is small and n is largeD.When p and q are equal

Q.29 A manufacturer produces rolls of wallpaper. A flaw occurs when the pattern is not consistent. A 20 metre sample from each role is inspected. It is believed that the number of flaws per sample follows a Poisson distribution with a mean of one

flaw per 20 metre sample. What is the probability that at least two flaws will appear in a 20 metre sample? A. 0.2642 B. 0.7358C. 0.3246 D. 0.4568

Q. 30 A study shows that at the weekend the average number of cars queuing at a service station petrol pump in a garage is four. What is the probability that during the weekend four or more cars were waiting? A. 0.2344 B. 0.5665C. 0.1954 D. 0.4335

Q. 31 In 1986, the space shuttle, Challenger exploded with the resulting death of all seven astronauts. In 1995 NASA estimated that the probability of a catastrophic occurrence such as this was about 1 in 60000. The Challenger flight was the 25th mission. Use the Poisson distribution to calculate the probability of the occurrence. A. 0.0025 B. 0.0001C. 0.0004 D. 0.0003

Q.32 FIND:

A.

B.

C.

D.

Q. 33 EVALUATE:

A. 27

B.

C.D. 21

Q. 34 Evaluate

A.2,882 B.766

C.576.4 D.525.8

Q. 35 Which of the following represents the consumption function when

, and C = 50 when Y = 100?

A.

B.

C.

D.

 

Q.36 firm's marginal revenue and marginal cost functions are given by

MR = 240 - 0.6Q2 and MC = 150 + 0.3Q2

If fixed costs are 50, determine the maximum profit.

A. 800 B. 150C. 200 D. 550

Q. 37 Which of the following is an expression for g'(x) when

A. 5x2 - 2x

B.  t3 -   t2

C. 5t2 - 2tD.0.

Q. 38 The producer's surplus at Q = a for the supply function

P = 6 + 8Q

is known to be 400. Find the value of a.A.25 B.10C. 5 D.20

Q. 39 Which of the following expressions represents the present value of a continuous revenue stream for n years at a constant rate of $S per year if the discount rate isr%?

A.

B.

C.

D.

Q.40 Find an antiderivative by reversing the chain rule, product rule or quotient rule integral(x^2 sin3x + x^3 cos3x) A. x^3 cos3x  B. x^3 sin2x C. x^2/3 (cos2x)  D. x^3/3 (sin3x) 

Q. 41 Find an equation of the tangent line at the given value of x y= integral(e^(4t^2-5))dt in interval [x,3] , x=3 

A. y=e(x+3)  B. y=3 e^31 x C. e^31(x-3)  D. -e^62(x+3)

Q. 42  Find the interval of convergence for the seriesx - x2/2 + x3/3 - x4/4 + ...........A. -1 < x < 1 B. -1 <= x < 1C. 0 < x < 2 D. 1 < x <= 1. Q.43 The mean of the following frequency distribution will be 

Age (years) No. of workers Age (years) No. of workers

50-55 22 25-40 47

45-50 29 30-35 51

40-45 21 25-30 70

 A. 36.8 years B. 41.8 yearsC. 33.8 years D. 25 years.  Q.44 Which of the following floating point variable is invalid in Fortran ?A. IST B. DIGITC. TEMP D. P 25 x Y. Q. 45 If x is normal with mean and variance σ2, y = ax + b, where a and b are constants, is normal withA. mean μ and variance σ2

B. meanaμ + b and variance aσ2

C. meanaμ + b and variance aσ2 + bD. meanaμ + b and variance a2σ2.  Q. 46  ∫1

0 f (x) dx is equal toA. ∫1

0 f (1-x) dx B. 2 ∫10 f (x) dx

C. ∫10 f (-x) dx D. none of the above.

  Q. 47 In Fortran which of the following statement is correct ?A. IF (A + B - 4) 1,9,4 B. 10 IF(X+Y)9,20,9C. IF (A + B*C., 3,2,4 D. none of the above.  Q. 48 In the expression Z= 3 U2V, U is decreasing at 3 cm/s, when V is increasing at 4 cm/s. What is the rate of change of Z when U = 30 and V= 10?A. 54 B. 540C. 5400 D. 54000.

Q. 49 The series ∑ (1/ (p/n + q/n)) is convergent ifA. p> 1 and q < 1 B. p< 1 and q=1C. p> 1 D. p< 1 and q < 1.  

Q. 50 A table for values of x and y is given below: 

x y

93.0 11.38

96.2 12.80

100.0 14.70

104.2 17.07

108.7 19.91

  Using Lagrange's formula the value of y when x = 102 will beA. 14.13 B. 14.69C. 15.13 D. 15.79.  Q. 51 The order of convergence of Newton-Raphson iterative algorithm isA. first order B. second orderC. third order D. none of the above.  Q. 52 In the quotient 876.3 / 494.2 if both numbers are approximate and true only to the number of digits given, give the trust worthy figures in the quotientA. 1.773201 B. 1.7732C. 1.773 D. 1.77.  Q. 53 Newton Raphson method of solution of numerical equation is not preferred whenA. the graph of f(x) is nearly horizontal where it crosses the x-axisB. the graph of f(x) is nearly vertical where it crosses the x-axis

C. both conditions A. and B. above prevailD. none of the above.  Q. 54  What value must be assigned to the function (cos x)1/x when x = 0, so that the function will be continuous at x = 0A. 0 B. 1C. e D. 1/e.  Q. 55  Which of the following is an implicit function of xA. y = 3x2-5x + 2 B. x3 = 3axy = y2 = 0C. y = log (sin x) D. y = sin-1 (2 x) / (1-x2)  Q. 56 The values of a, b and c for which the functionf(x) = [sin(a+1) x + sinx] / x , for x < 3= C, for x =0= [ (x+bx2) 1/2-x1/2 ] / bx3/2, for x >0 A. a = 0, b= 1,c = 1B. a =1,b = 1/2, c = 0C. a= -3/2 , b !=0 , c = 1/2D. a= 3/2 , b !=0 , c = - 1/2 Q. 57  If A varies inversely as B 2-1 and A is equal to 24 when B = 10, the value of A when B= 5 will beA. 33 B. 66C. 121 D. 99.  

Q. 58  A table for values of x and y is given below

x y

93.0 11.38

96.2 12.80

100.0 14.70

104.2 17.07

108.7 19.91

  Using Lagrange's formula the value of x when y = 13.5 will beA. 98.14 B. 97.66C. 96.99 D. 96.43. 

Q. 59 The off sets taken from a chain line are given below: 

Chainage(m) Offset(m)

0 7.60

15 8.5

30 10.7

45 12.8

60 10.6

70 9.5

80 8.3

100 7.9

120 6.4

140 4.4

 The area between the survey line and the edges by Simpson's rule will beA. 1245.3 sq. m B. 1230.3 sq. mC. 1215.6 sq.m D. 1198.9 sq. m. Q. 60  The following perpendicular offsets were taken at 10 meter intervals from a survey line to an irregular boundary line 3.25, 5.60, 4.20, 6.65, 8.75, 6.20, 3.25,

4.20, 5.65. The area enclosed between the survey line, the irregular boundary line, and the first and last offsets, by trapezoidal rule will beA. 401 sq. m B. 433 sq. mC. 455 sq. m D. 498 sq. m.  Q. 61 In the above case the area by Simpson's rule will beA. 439.67 sq-m B. 445.38 sq-mC. 460.48 sq-m D. 466.59 sq-m.  Q. 62  The following is the distribution of ages (in years) of teachers of an Engineering college 

Age Numbers of teachers

23-29 10

29-35 12

35-41 22

41-47 16

47-53 7

Total 67

  The class marks and class size of the class (35 — 41) isA. 35, 5 B. 38, 6C. 39, 5 D. 41, 6. 

 Q. 63  The value ofLt x->0 (1-x) tan π x / 2 isA. π B. 2πC. 2/π D. 1/2π

 Q. 64 The offsets taken from a chain line are given below:

 

Chainage (m) Offset (m)

0 7.60

15 8.5

30 10.7

45 12.8

60 10.6

70 9.5

80 8.3

 

Chainage (m) Offset (m)

100 7.9

120 6.4

140 4.4

 The area between the survey line, and the edges by trape zoidal rule will beA. 1049 sq-m B. 1138 sq-mC. 1219 sq-m D.NONE

Q. 65  Lt x->0(x - l)1/x is equal tA. 0 B. eC. 1 D. -e.  Q. 66 The value of a function is given by the formulaf = abc / 550The value of 'a' varies from 62.3 to 62.5 the measured value of b and c is 16.42 463 respectively. Find the value of the function and indicate how many figures of the result are reliableA. Between 860 and 865 B. Between 850 and 860C. Between 840 and 855 D. Between 845 and 860.  Q. 67 The solution of the differential equationy "( t ) - 2 y' ( t )+ y ( t ) = 1 is

A. y( t ) = C1et + C2 e-t + 1 B. y( t ) = (C1 + C2t) e-t + 1C. y( t ) = (C1 + C2t-t) e-t + 1 D. y( t ) =( C1 + C2t )et + 1   Q. 68 In the solution of ordinary differential equations in case dy/dx is a function of alone, then which pair of methods becomes identicalA. Simpson's rule and Trapezoidal ruleB. Trapezoidal rule and Euler's methodC. Simpson's rule and RungaKutta methodD. Euler's method and RungaKutta method.  Q. 69 The mth derivative of enx with respect to x isA. mnx B. mnenx

C. nmenx D. mnenx

  Q. 70  Simpson's formula is applicable toA. odd number of intervals B. even number of intervalsC. odd or even number of intervals D. none of the above. Q. 71 Which of the formula does not require that the interval of integration be divided into an even number of intervals ?A. Simpson's formula B. Weddle formulaC. Trapezoidal rule D. None of the above.  Q. 72 For the function f(x) = x + sin(x) we may infer which one of the following :A. It has no relative maxima or minimaB. It has one relative maxima and one relative minimum point for the interval 0 <= x <= 2 πC. It has no point of inflectionD. It has one relative maximum but no minimum point in the interval 0 <= x <= 2 π  Q.73  The velocity v, of parachute falling vertically satisfies the equationv dv/dx = g( I - v2/ k2)Where g and k are constants. If v and x are both initially zero, which of the following expresses v in terms of x ?A. v2= k2 (l - e-29 x / k.k) B. v2= k2 (l + e-29x / k.k)

C. v2= k2 (l - e29x / k.k) D. v2= k2 (l + e29x / k.k)  Q. 74 The value of ∫∫dx dy / (Ω(1 + x2 + y2)3/2) where Ω is the region x2 + y2<= 1, x >= 0, y >= 0 iA. π /2 B. π/2 (1 - 1/ √2)C. π/2 (1 - 1/ √2) D. π/2  Q. 75 The following table gives the relation between steam pressure and temperature:

Temp. 361° 367° 378° 387° 399°

Pressure 15.49 167.0 191.0 212.5 244.2

 The pressure at temperature 372.1° will beA. 177.9 B. 177.4C. 176.9 D. 176.5.  Q. 76 The values of the probability integral( 2 / π ) ∫0

x e-x2 dxare given in the table for certain values of x. 

( 2 / π ) ∫0x e-x2 dx x

0.4846555 0.46

0.4937452 0.47

0.5027498 0.48

0.5116683 0.49

 The value of x for which this integral is equal to 1/2, will beA. 0.486936 B. 0.487966C. 0.479663 D. 0.476936.  Q.77  In the formulaD = d2/2h + h/2 the percentage error in D is not to exceed 0.3%, the allowable percentage error in r and h will be

A. 0.177 and 0.98 B. 0.98 and 0.177C. 0.47 and 0.98 D. 0.98 and 0.47. 

Q. 78  In order to evaluate the value of definite integral∫4 5.2 loge x dx,the interval of integration is divided into six equal parts each of width 0.2. The values of the function for different values of x are given below

Xloge x

4.0 1.38629436

4.2 1.43508453

4.4 1.48160454

4.6 1.52605630

4.8 1.56861592

5.0 1.60943791

5.2 1.64865863

 The value of the integral according to Simpson's rule will beA. 1.82784726 B. 1.82877462C. 1.83874552 D. .1.84356129. Q. 79 Which of the following formula is most accurate for numerical integration ?A. Simpson's rule B. Trapezoidal ruleC. Weddle's formula D. Gauss's Quadrature formula. 

 Q. 80 For the year 1984 the declination of the sun at a city xyz, noon on certain dates was as given below:

Date Declination

March 1 23o 25' 23''.5

March 2 23o 26' 19''.4

March 3 23o 26' 50''.5

March 4 23o 26' 56''.8

March 5 23o 26' 38''.3

March 6 23o 25' 55''.1

March 7 23o 24' 47''.1

 The declination was maximum onA. March 3 B. March 4C. March 5 D. March 6.  Q. 81 When the number 67.4950899 is rounded off correctly to four significant figures. The number will becomeA. 6749 B. 67.49C. 67.50 D. 67.51.  

Q. 82  The value of integral ex is evaluated from 0 to 0.4 by the following formula. Which method will give the least error ?A. Trapezoidal rule with h = 0.2B. Trapezoidal rule with h = 0.1C. Simpson's 1/3 rule with h = 0.1.d. none  Q. 83 The results obtained by using Simpson's rule will be greater than those obtained by using the trapezoidal ruleA. in all casesB. provided the intervals are smallC. provided the boundary is concave towards the base lineD. provided the boundary is convex towards the base line.

  Q. 84 A function (ax+B. / ((x-1)(x+4)) turning value at the point (2, -1). The value of a and b will beA. a = x, b=1 B. a = 3,6 = 5C. a = -5, b = 7 D. a = -7, b = 8.  

Q. 85 Five numbers are given :930.42, 432.0 x10, 191.6, 86.43, 0.15625.The sum of the numbers will beA. 5528 B. 5529C. Either of A. or B. above D. None of the above. Q.86 Which of the following is one dimensional wave equation ?A. ∂2u / ∂t2 = CB. ∂2u / ∂t2 = C ∂u / ∂xC. ∂2u / ∂t2 = C2 ∂u / ∂xD. ∂2u / ∂t2 = C2 ∂2u / ∂x2

  Q. 87 A series of offsets taken from a chain line at the intervals of 15 meters are in the following order:0, 2.65, 3.80, 3.75, 4.65, 3.60, 4.95 and 5.85 m. The area between the chain line, the curved boundary and the end off sets by trapezoidal rule will beA. 394.87 sq-m B. 398.55 sq-mC. 399.99 sq-m D. none of the above.  Q. 88 The area of cross-section of a rod is desired to be 0.2 percent. How accurately should the diameter be measured ?A. 1% B. 0.1%C. 0.01% D. 0.001%.  Q. 89 When the number 48.365 is rounded off correctly to four significant figures, the number will becomeA. 48.36 B. 48.36C. 48.361 D. 48.37. 

 Q.90 If x and y be two real variables such that x > 0, and xy = 1, the minimum value of x+y will beA. 1/2 B. 1C. 2 D. 3.    Q. 91 The following table gives the values in meters of the offsets taken from a chain line to an irregular boundary: 

Distance Offset

0 10.6

50 15.4

100 20.2

150 18.7

200 16.4

250 20.8

300 22.4

350 19.3

400 17.6

 Using Simpson's rule the area in square meters included between the chain line, irregular boundary and the first and the last offset will beA. 7.33.28 sq-m B. 744.18 sq-mC. 820.38 sq-m D. 880.48 sq-m.  Q. 92 If the determinant of coefficients is not very small, Gaussion eliminationA. gives no solution B. gives incorrect solutionC. gives solution D. none of the above.  

Q. 93 Compute loge 2 by taking three terms in the expansion of seriesA. 0.693004 B. 0.690304C. 0.690034 D. 0.690340.  Q.94 The maximum and minimum values of sin2x are respectivelyA. (0,1) B. (1,0)C. (-1,0) D. (0,-1).

Q. 95 The minimum value of the functiony = x 5- 4x4 + 5x3 - 1occurs whenA. x = 3 B. x = 2C. x = 1 D. x = 0.  Q.96 100 is to be divided into two parts such that their product is maximum.The parts will beA. (40,60) B. (50,50)C. (47,53) D. (48.3,51.7).  Q. 97 The series∑ 1 / ( log n )1 / n

isA. divergent to infinity B. convergentC. conditionally convergent D. divergent to - ∞  Q. 98 If the cube of x varies as inverse square of y and when x = 2, y = 3, the relation between x and y can be expressed asA. 72 x3 = y2 B. 9x3 = 4 / y2

C. x3 = 72 / y2 D. 4x3 = 9 / y2

  Q. 99 The partial differential equation∂2y / ∂n2 = a2 ∂2y / ∂n2

is known asA. Bessel's equation B. Fourier equationC. Wave equation D. Laplace equation. 

 Q. 100 If a function has a differential coefficient that vanishes for all values of x in the interval a<= x <= b, the function isA. a constant B. a continuous functionC. a discontinuous function D. none of the above.  Q. 101 An ordinary die numbered 1 through 6 is thrown. What is the probability that the number which turns up is less than 4 ?A. 1/6 B. 1/4C. 1/3 D. 1/2.  Q. 102 Let bq, bq-1 ........... b0, be the binary representation of integer B.The integer 3 is a divisor of b if and only ifA. bi = b0 = 1B. the sum of the binary digits bi is divisible by gC. the sum of the binary digit bi is divisible by 3 but not by 9D. the alternating sum b0 +b1 + b2 - ..... is divisible by 3.  Q. 103 K digits are to be chosen at random (with repetitions alloweD. from (0,1,2,3,4,5,6,7, 8, 9). What is the probability that 0 will be chosen ?A. 1/K B. 1/10C. (1/10)k D. (9/10)k

  

 

For the functionu = xy2 z3

if r = 37.1, y = 9.87, z = 6.052and ∆ x = 0.3, ∆y = 0.11, ∆ z = 0.016. Q. 104 The relative error of the function isA. 1% B. 1.9%

C. 3.8% D. 7.6%.  Q.105 The absolute error isA. 0.3 x 103 B. 0.3 x 104

C. 0.3 x 106 D. 0.3 x 106.  Q. 106 Using Simpson's rule find ∫0 2 f(x) dx given below 

x=0 0 0.5 1.0 1.5 2.0

f(x)=0 0.3989 0.3521 0.2420 0.1296 0.0540

 A. 0.1850 B. 0.4458C. 0.6937 D. 0.9898. Q. 107 If the letters of the word MISSISSIPPI are written down at random in a row, the probability of no two S's occurring together isA. 1/3 B. 7/33C. 6/13 D. none of the above.  Q. 108 If the chance of a bad reaction from a certain medicine is 0.001, determine the chance that out of 20000 men more than 3 will be affected badly by the medicineA. 0.14 B. 0.18C. 0.22 D. 0.3. Q. 109 Which of the following provides a measure of central location for the data?A. standard deviation B. meanC. variance D. range

Q.110 A numerical value used as a summary measure for a sample, such as sample mean, is known as a

A. population parameter B. sample parameterC. sample statistic D. population mean

Q.111 Since the population size is always larger than the sample size, then the

sample statistic

A. can never be larger than the population parameterB. can never be equal to the population parameterC. can be smaller, larger, or equal to the population parameterD. can never be smaller than the population parameter

Q.112 is an example of aA. population parameter B. sample statisticC. population variance D. mode

Q.113 The hourly wages of a sample of 130 system analysts are given below.

mean = 60 range = 20mode = 73 variance = 324median = 74The coefficient of variation equals

A. 0.30% B. 30%C. 5.4% D. 54%

Q.114 The variance of a sample of 169 observations equals 576. The standard deviation of the sample equals

A. 13 B. 24C. 576 D. 28,461

Q.115 The median of a sample will always equal theA. mode B. meanC. 50th percentile D. all of the above answers are correct

Q.116 The median is a measure of

A. relative dispersion B. absolute dispersionC. central location D. relative location

Q. 117 The 75th percentile is referred to as theA. first quartile B. second quartileC. third quartile D. fourth quartile

Q.118 The pth percentile is a value such that at least p percent of the observations areA. less than or equal to this value B. less than this valueC. more than or equal to this value D. more than this value

Q.119 The difference between the largest and the smallest data values is theA. variance B. interquartile rangeC. range D. coefficient of variation

Q.120 The first quartileA. contains at least one third of the data elementsB. is the same as the 25th percentileC. is the same as the 50th percentileD. is the same as the 75th percentile

Q.121 Which of the following is not a measure of central location?A. mean B. medianC. variance D. mode

Q.122. If a data set has an even number of observations, the medianA. cannot be determinedB. is the average value of the two middle itemsC. must be equal to the mean

D. is the average value of the two middle items when all items are arranged in ascending order

Q.123 Which of the following is a measure of dispersion?A. percentiles B. quartilesC. interquartile range D. all of the above

Q.124 The most frequently occurring value of a data set is called theA. range B. modeC. mean D. median

Q. 125 The interquartile range isA. the 50th percentileB. another name for the varianceC. the difference between the largest and smallest valuesD. the difference between the third quartile and the first quartile

Q.126 If index i (which is used to determine the location of the pth percentile) is not an integer, its value should be

A. squared B. divided by (n – 1)C. rounded down D. rounded up

Q. 127 When the data are skewed to the right, the measure of Skewness will beA. negative B. zeroC. positive D. one

Q.128 When data are positively skewed, the mean will usually beA. greater than the median B. smaller than the mediaC. equal to the median D. positive

Q.129 Which of the following is not a measure of dispersion?A. the range B. the 50th percentileC. the standard deviation D. the interquartile range

Q.130 The interquartile range is used as a measure of variability to overcome what difficulty of the range?

A. the sum of the range variances is zeroB. the range is difficult to computeC. the range is influenced too much by extreme valuesD. the range is negative

Q.131 If the variance of a data set is correctly computed with the formula using n - 1 in the denominator, which of the following is true?

A. the data set is a sampleB. the data set is a populationC. the data set could be either a sample or a populationD. the data set is from a census

Q.132 In computing descriptive statistics from grouped data,A. data values are treated as if they occur at the midpoint of a classB. the grouped data result is more accurate than the ungrouped result

C. the grouped data computations are used only when a population is being analyzed

D. None of these alternatives is correct.

Q.133 The measure of dispersion that is influenced most by extreme values isA. the variance B. the standard deviationC. the range D. the interquartile range

Q.134 When should measures of location and dispersion be computed from grouped data rather than from individual data values?

A. as much as possible since computations are easierB. only when individual data values are unavailableC. whenever computer packages for descriptive statistics are unavailableD. only when the data are from a population

Q.135 The descriptive measure of dispersion that is based on the concept of a deviation about the mean is

A. the range B. the interquartile range

C. the absolute value of the range D. the standard deviation

Q.136 The measure of location which is the most likely to be influenced by extreme values in the data set is the

A. range B. medianC. mode D. mean

Q.137 The most important statistical descriptive measure of the location of a data set is the

A. mean B. medianC. mode D. variance

Q.138 The numerical value of the standard deviation can never beA. larger than the variance B. zeroC. negative D. smaller than the variance

Q.139 The sample varianceA. is always smaller than the true value of the population varianceB. is always larger than the true value of the population variance

C. could be smaller, equal to, or larger than the true value of the population variance

D. can never be zero

Q.140 The variance can never beA. zero B. larger than the standard deviationC. negative D. smaller than the standard deviation

Q.141 If two groups of numbers have the same mean, thenA. their standard deviations must also be equalB. their medians must also be equalC. their modes must also be equalD. None of these alternatives is correct

Q.142 The sum of deviations of the individual data elements from their mean isA. always greater than zeroB. always less than zero

C. sometimes greater than and sometimes less than zero, depending on the data elements

D. always equal to zero

Q. 143 Which of the following symbols represents the standard deviation of the population?

A. 2 B.

C. D. x

Q. 144 Which of the following symbols represents the mean of the population?A. 2 B.

C. D. x

Q.145 Which of the following symbols represents the variance of the population?A. 2 B.

C. D. x

Q. 146 Which of the following symbols represents the size of the population?A. 2 B.

C. D. N

Q.147 Which of the following symbols represents the mean of the sample?A. 2 B.

C. D. x

Q.148 Which of the following symbols represents the size of the sampleA. 2 B. C. N D. n

Q.149 The symbol is used to representA. the variance of the populationB. the standard deviation of the sampleC. the standard deviation of the populationD. the variance of the sample

Q.150 The symbol 2 is used to representA. the variance of the populationB. the standard deviation of the sampleC. the standard deviation of the populationD. the variance of the sample

Q.151 A numerical measure of linear association between two variables is theA. variance B. covarianceC. standard deviation D. coefficient of variation

Q.152 Positive values of covariance indicateA. a positive variance of the x valuesB. a positive variance of the y valuesC. the standard deviation is positiveD. positive relation between the independent and the dependent variables

Q.153 A numerical measure of linear association between two variables is theA. variance B. coefficient of variationC. correlation coefficient D. standard deviation

Q.154 The coefficient of correlation ranges betweenA. 0 and 1 B. -1 and +1

C. minus infinity and plus infinity D. 1 and 100

Q.155 The coefficient of correlationA. is the same as the coefficient of determinationB. can be larger than 1C. cannot be larger than 1D. cannot be negative

Q.156 When the smallest and largest percentage of items are removed from a data set and the mean is computed, the mean of the remaining data is

A. the median B. the modeC. the trimmed mean D. any of the above

Q.157 In a five number summary, which of the following is not used for data summarization?

A. the smallest value B. the largest valueC. the mean D. the 25th percentile

Q.158 During a cold winter, the temperature stayed below zero for ten days(ranging from -20 to -5). The variance of the temperatures of the ten day

periodA. is negative since all the numbers are negativeB. must be at least zeroC. cannot be computed since all the numbers are negativeD. can be either negative or positive

Q.159 Which of the following is not a measure of dispersion?A. mode B. standard deviationC. range D. interqurtile range

Q.160 Since the mode is the most frequently occurring data value, itA. can never be larger than the meanB. is always larger than the medianC. is always larger than the meanD. None of these alternatives is correct.

The following data show the number of hours worked by 200 statistics students.

Number of Hours Frequency

0 - 9 40

10 - 19 5020 - 29 7030 - 39 40

Q. 161 Refer to Exhibit 3-1. The class width for this distributionA. is 9 B. is 10C. is 11 D. varies from class to class

Q.162 Refer to Exhibit 3-1. The cumulative relative frequency for the class of 10 - 19A. is 90 B. is .25C. is .45 D. cannot be determined

A researcher has collected the following sample data

5 12 6 8 56 7 5 12 4

Q.163 Refer to Exhibit 3-2. The median isA. 5 B. 6C. 7 D. 8

Q.164 Refer to Exhibit 3-2. The mode isA. 5 B. 6C. 7 D. 8

Q.165 Refer to Exhibit 3-2. The mean isA. 5 B. 6C. 7 D. 8

Q.166 Refer to Exhibit 3-2. The 75th percentile isA. 5 B. 6C. 7 D. 8

Exhibit 3-3A researcher has collected the following sample datA. The mean of the sample is 5.

3 5 12 3 2

Q. 167 Refer to Exhibit 3-3. The variance isA. 80 B. 4.062C. 13.2 D. 16.5

Q. 168 Refer to Exhibit 3-3. The standard deviation isA. 8.944 B. 4.062C. 13.2 D. 16.5

Q. 169 Refer to Exhibit 3-3. The coefficient of variation isA. 72.66% B. 81.24%C. 264% D. 330%

Q. 170 Refer to Exhibit 3-3. The range isA. 1 B. 2C. 10 D. 12

Q. 171 Refer to Exhibit 3-3. The interquartile range isA. 1 B. 2C. 10 D. 12

Exhibit 3-4

The following is the frequency distribution for the speeds of a sample of automobiles traveling on an interstate highway.

Speed

Miles per Hour Frequency

50 - 54 2

55 - 59 460 - 64 565 - 69 1070 - 74 975 - 79 5

35

Q.172 Refer to Exhibit 3-4. The mean isA. 35 B. 670C. 10 D. 67

Q. 173 Refer to Exhibit 3-4. The variance isA. 6.969 B. 7.071C. 48.570 D. 50.000

Q.174 Refer to Exhibit 3-4. The standard deviation isA. 6.969 B. 7.071C. 48.570 D. 50.000

Q.175 In each case, two permutations on 6   are listed. In which case is the first permutation less than the second in direct insertion order?A. 2, 3, 1, 4, 5, 6 1, 3, 2, 4, 5, 6  B. 2, 3, 1, 4, 5, 6 2, 1, 3, 4, 5, 6  C. 2, 3, 1, 4, 5, 6 4, 5, 6, 1, 3, 2   D. 6, 1, 2, 3, 4, 5 2, 1, 3, 4, 5, 6   

Q. 176 What is the rank, in direct insertion order, of the permutation 5, 4, 6, 3, 2, 1?A. 3 B. 4C. 715 D. 717

Q. 177 What is the rank, in lex order, of the permutation 6, 1, 2, 3, 4, 5? A. 20 B. 30

C. 480 D. 600

Q. 178 Consider the list of all sequences of length six of A’s and B’s that satisfy the following conditions:(i)There are no two adjacent A’s.(ii)There are never three B’s adjacent.What is the next sequence after ABBABB in lex order?A.ABABAB B.ABBABAC.BABABA D.BABBAB

Q. 179 Which of the following 4 × 4 domino covers represent two distinct hibachi grills?A.hhhhhvvh and hvvhhhhh B.hvvhvvhh and vvhhvvhhC.vhvvvhvh and hhvhvhvv D.vvhhvvhh and hhhhvvvv

Q. 180 Given that a0 = 1, an = n + (−1)nan−1 for n ≥ 2 What is the value of a4?A. 1 B. 4C. 5 D. 8

Q.181 Given that ak = ak−1/(1 + ak−1) for k ≥ 1, a0 = 1. Which of the following gives an explicit formula for ak?A.1/3k, k = 0, 1, 2, 3, . . . B.1/2k, k = 0, 1, 2, 3, . . .C.1/(3k+1 − 2), k = 0, 1, 2, 3, . . . D.1/(k + 1), k = 0, 1, 2, 3, . . .

Q.182 Consider the recurrence relation ak = −8ak−1 − 15ak−2 with initial conditions a0 = 0 and a1 = 2. Which of the following is an explicit solution to this recurrence relation?A.ak = (−3)k − (−5)k B.ak = k(−3)k − k(−5)kC.ak = k(−3)k − (−5)k D.ak = (−5)k − (−3)k

Q.183 Consider the recurrence relation ak = 6ak−1 − 9ak−2 with initial conditions a0 = 0 and a1= 2. Which of the following is an explicit solution to this recurrence relation, provided the constants A and B are chosen correctly?A.an = A3n + B3n B.an = A3n + B(−3)nC.an = A3n + nB3n D.an = A(−3)n + nB(−3)n

Q. 184 In the Towers of Hanoi puzzle H(8, S, E, G), the configuration is

Pole S: 6, 5; Pole E: 1; Pole G: 8,7,4,3,2.What move was just made to create this configuration?A.washer 1 from S to E B.washer 1 from G to EC.washer 2 from S to G D.washer 2 from E to G

Q.185 In the Towers of Hanoi puzzle H(8, S, E, G), the configuration isPole S: 6, 5; Pole E: empty; Pole G: 8, 7, 4 ,3 ,2, 1 .What are the next two moves?A.washer 1 from G to E followed by washer 2 from G to SB.washer 1 from G to S followed by washer 2 from G to EC.washer 5 from S to E followed by washer 1 from G to ED.washer 5 from S to E followed by washer 1 from G to S

Q.186 In the Towers of Hanoi puzzle H(8, S, E, G), the configuration isPole S: 6, 5, 2; Pole E: 1; Pole G: 8, 7, 4 ,3.The next move is washer 2 from S to G. What is the RANK of this move in the list of all moves for H(8, S, E, G)?A. 205 B. 206C. 214 D. 215

Q. 187 In the subset Gray code for n = 6, what is the next element after 111000?A.000111 B.101000C.111001 D.111100

Q.188 In the subset Gray code for n = 6, what is the element just before 110000?A.010000 B.100000C.110001 D.110100

Q. 189 In the subset Gray code for n = 6, what is the RANK of 110000?A. 8 B. 16C. 32 D. 48

Q. 190 In the subset Gray code for n = 6, what is the element of RANK 52?A.101011 B.101110C.101101 D.110000

Q.191.The probability of team A winning any game is 1/3. Team A plays team B in a tour- nament. If either team wins two games in a row, that team is declared the winner. At most three games are played in the tournament and, if no team has won the tour- nament at the end of three games, the tournament is declared a draw. What is the expected number of games in the tournament?

A. 3 B. 19/9C. 22/9 D. 25/9

Q.192 The probability of team A winning any game is 1/2. Team A plays team B in a tour- nament. If either team wins two games in a row, that team is declared the winner. Atmost four games are played in the tournament and, if no team has won the tournament at the end of four games, the tournament is declared a draw. What is the expected number of games in the tournament?A. 4 B. 11/4C. 13/4 D. 19/4

Q. 193 A man starts with one dollar in a pot. A “play” consists of flipping a fair coin and,•if heads occurs, doubling the amount in the pot,•if tails occurs, losing one dollar from the pot. The game ends if the man has zero dollars or if he has played three times. Let Y denote the random variable which, for each outcome of the game, specifies the amount of money in the pot. What is the value of Var(Y )?A. 9/8 B. 10/8C. 12/8 D. 14/8

Q. 194 We are given an urn that has one red ball and one white ball. A fair die is thrown. If the number is a 1 or 2, one red ball is added to the urn. Otherwise two red balls are added to the urn. A ball is then drawn at random from the urn. Given that a red ball was drawn, what is the probability that a 1 or 2 appeared when the die was thrown?A. 4/13 B. 5/13C. 6/13 D. 7/13

Q.195 In a certain college,•10 percent of the students are science majors.•10 percent are engineering majors.•80 percent are humanities majors.•Of the science majors, 20 percent have read Newsweek.•Of the engineering majors, 10 percent have read Newsweek.•Of the humanities majors, 20 percent have read Newsweek.Given that a student selected at random has read Newsweek, what is the probability that that student is an engineering major?A. 1/19 B. 2/19

C. 5/19 D. 9/19

Q.196 The probability of team A winning any game is 1/3. Team A plays team B in a tournament. If either team wins two games in a row, that team is declared the winner. At most four games are played and, if no team has won the tournament at the end of four games, a draw is declared. Given that the tournament lasts more than two games, what is the probability that A is the winner?A. 1/9 B. 2/9C. 4/9 D. 5/9

Q. 197Ten percent of the students are science majors (S), 20 percent are engineering majors (E), and 70 percent are humanities majors (H). Of S,10 percent have read 2 or more articles in Newsweek, 20 percent 1 article, 70 percent 0 articles. For E, the correspond- ingpercents are 5, 15, 80. For H they are 20, 30, 50. Given that a student has read 0 articles in Newsweek, what is the probability that the student is S or E (i.e., not H)?A.21/58 B. 23/58 C. 12/29 D. 13/29

Q.198  The goal of forward elimination steps in the Naïve Gauss elimination method is to reduce the coefficient matrix to a (an) _____________  matrix.A. DIAGONAL B. IDENTITYC.LOWER TRIANGLE D. UPPER TRIANGLE   

 

Q.199 Division by zero during forward elimination steps in Naïve Gaussian elimination of the set of equations [A][X]=[C] implies the coefficient matrix [A] isA.INVERTIBLE B.NONSINGULARC.NOT DETERMINED D.SINGULAR

Q.200 Using a computer with four significant digits with chopping, Naïve Gauss elimination solution to

A.x1 = 26.66; x2 = 1.051 B. x1 = 8.769; x2 = 1.051C. x1 = 8.800; x2 = 1.000 D. x1 = 8.771; x2 = 1.052

Q. 201 Using a computer with four significant digits with chopping, Gauss elimination with partial pivoting solution to

A. x1 = 26.66; x2 = 1.051 B. x1 = 8.769; x2 = 1.051C. x1 = 8.800; x2 = 1.000 D. x1 = 8.771; x2 = 1.052

Q. 202 Find the consumer's surplus at Q = 8 for the demand function

P = 50 - 4Q.

A.256 B. 272C.128 D. 192

Q. 203 The table gives the values of a variable x and an unknown function y 

X y

3 -205

4 -240

5 -259

6 -262

7 -250

8 -224

 For what value of x, the value of the function y is minimumA. 5.976 B. 5.784C. 5.697 D. 5.888.

Q.204 If f(x) = 3x2, then F(x) = 

   A. 6x  B. x3 

C. x3 + C D.6x + C

Q. 205 The two types of errors that are related to differentials are: 

    A. Human, Absolute.   B. Absolute, Relative.

    C. Relative, Controllable.  D. Controllable, Natural.

Q. 206 Mathematically, what is a differential?

A. A gear box on the back end of your car.

    B. A word used a lot on a popular medical television series.

    C. A method of directly relating how changes in an independent variable affect changes in a dependent variable. 

D. A method of directly relating how changes in a dependent variable affect changes in an independent variable.

Q. 207 The 2nd derivative of a function at point P is 0, and concavity is positive for values to the right of P. What must the concavity be to the left of P for P to be an inflection point? 

A. be positive. B. be negative.

C. neutral (0). D. be imagin

Q.208 At what value of q is the concavity of w(q) = -2, if w(q) = q4 - 16? 

A.At q = fourth root of 14. B. At q = 0. 

   C. Never;    D. Never; w(q)

Q.209 What is needed to fully determine an anti-differentiated function? 

A. A lot of luck.  B. A boundary condition. 

C.What its value is at (0, 0).  D. Its real world application.

Q.210 It has been determined that g(p) has a maximum at p = -47.6. What can be said of the function's concavity at that point? 

   A. g ''(p) = 0  B. g ''(p) &gt; 0 

C.both a & B D. NONE

   

Q.211 What are the values of C0 and C1 in d(t) = C1 + C0t - 16t2, if d(1) = 4 and v(2) = -65? 

    A. C0 = -1, C1 = 21  B. C0 = 1, C1 = -21 

    C.C0 = -1, C1 = 19  D. C0 = 0, C1 

Q.212 GD. was determined to be 3d + C; here, C is called: 

     A. constant of differentiation.    

B. constant of anti-differentiation. 

C. constant of integration.

D. constant of death and taxes. 

Q. 213 Does fC. = (c + 2)3 − 2 have an inflection point? If so, where is it located?

     A. Yes, at (-2, -2).  B. Yes, at (2, -2). 

C. Yes, at (8, -2).  D. No. 

Q. 214 Which of the following is the best definition of standard deviation? A. The typical amount by which scores differ from the mean of a set of scores. B. The 'average' of the sum of squared deviations from the mean. C. The average of a set of scores. D. The mean squared deviation from the average.

Q. 215 Which of the following is true? A. Standard deviation is variance divided by N - 1. B. Standard deviation is the 'average' variance. C. Standard deviation is the square root of variance. D. Standard deviation is the square of the variance.

Q. 216 Which of the following is true?A. Standard deviation has few applications in statistics.

B. Standard deviation always involves a particular unit of measurement such as kilograms.C. Standard deviation is always greater than the variance.D. The standard deviation formula gives greater emphasis to scores at the mean.

Q. 217 A researcher obtains a standard deviation of -6.23 for the variable 'achievement motivation'.A. The mean score must be 0.00 for this to happen.B. The researcher should square the value to get rid of the minus sign.C. We would expect negative values as often as positive ones.D. There must be an error in the calculation.

Q. 218 A z-score of -3.0 means:A. that you have too few decimal places.B. that there is a mistake in your calculation.C. that the score is below the sample mean.D. that the mean is three standard deviations below the particular score.

Q. 219 The mean of a set of scores is 5.0, the variance is 4.00, the standard deviation is 2.0, and the mode is 3.5. What is a score of 8.00 expressed as a z-score? A.1.25 B.2.00 C.-2.00 D.1.50

Q. 220 A researcher decides to measure mathematical ability by adding together the z-scores on 'addition' and 'multiplication'. The mean score on 'addition' is 20.00 and the standard deviation is 3.00; the mean score on multiplication is 5.00 and the standard deviation is 1.00. What would be the score on mathematical ability for a child who scored 26.00 on 'addition' and 8.00 on 'multiplication'? A.-1.00 B. impossible to calculate with the available information. C.28.00 D.5.00

Q. 221If for three individuals the obtained z-scores were 3.00; -2.00; and 1.64, what would be the proportion of individuals who scored higher than them according to the table of the standard normal z-distribution? A.0.13%, 2.28%, and 2.5% B.0.13%, 97.72%, and 5.00% C.2.64% D.3.00%, 2.00%, and 1.64%

Q.222 Approximately how many people would have scores LOWER than an individual with a z-score of 1.96? A.97.5% B.98.04% C. cannot calculate this unless the standard deviation is given. D.2.5%

Q.223 A standard score is: A. the standard deviation of a particular score. B. the mean score. C. a z-score. D. a constant.

Q.224 The z-score of Jack's age is -2.00 and the z-score of Jill's age is 1.00. Approximately what percentage of people are older than Jack but younger than Jill? A.95% B.5.00% C.82% D.3.00%

Q.225 z-scores should only be used with: A. frequency data. B. percentages. C. nominal data. D. none of these.

Q.226 The following data are needed to answer this question:The IQ scores of five children are 100, 102, 98, 97 and 103.The z-score of an IQ of 100 is: A. 0.00 B. 0.6 C. 0.00% D. -1.0

Q.227 The normal curve is also called aA. bell-shaped curve B. triangular curveC. even curve D. s-curve

Q.228 The normal curve represents a distribution where the __________, ___________, and ___________ are equal to each other.A. range / standard deviation / varianceB. mean / median / standard deviation

C. mode/ median / standard deviationD. mean / median / mode

Q.229 One characteristic of a bell-shaped curve is that it isA. Linear B.bi-modalC. symmetrical D. leptokurtic

Q.230 Given a population distribution of women’s heights with a mean of 5 feet 6 inches, which value is least probable?A.5 feet 6 inches B. 5 feet 10 inchesC.6 feet 1 inch D.5 feet 3 inches

Q.231 If a distribution has a mean of 100 and a standard deviation of 15, what value would be +2 standard deviations from the mean?A.70 B.115C.130 D.85

Q.232 If a distribution has a mean of 50 and a standard deviation of 5, what value would be –1 standard deviations from the mean?A.45 B.50C.55 D.60

Q.233 If a distribution has a mean of 35 and a standard deviation of 5, what value would be +1.5 standard deviateons from the mean?A.40 B.42.5C.27.5 D.30

Q.234 If a distribution has a mean of 35 and a standard deviation of 5, what value would be -2.5 standard deviations from the mean?A.35 B. 20C.22.5 D. 47.5

Q.235 What percentage of scores will fall between –3 and +3 standard deviations in a normal distribution?A. 50% B. 68.26%C. 95.44% D. 99.74%

Q.236 What two scores would divide a normal distribution such that 64.26% of the general population falls within them if the mean is 100 and the standard deviation is 15?A.90 to 110 B. 80 to 120C. 85 to 115 D. 75 to 125

Q.237 If a normal distribution of scores has a mean of 100 and a standard deviation of 10, what percentage of scores would lie above 2 standard deviations?A. .13% B.2.15%C. 2.28% D.97.97%

Q.238 If a normal distribution of scores has a mean of 100 and a standard deviation of 10, what percentage of scores would lie below 3 standard deviations?A. .13% B. 2.15%C.2.28% D. 99.87%

Q.239 What percentage of scores lies between the mean and –1 standard deviation for a normal distribution with a mean of 100 and a standard deviation of 15?A. +15.00 % B.–15.00 %C. 34.13% D. –34.13%

240 What percentage of scores lies between 2 and 3 standard deviations below the mean?A.+27% B.-13%C.-7% D.2.15%

Q.241Standard scores are comparable becauseA. they come from the same sampleB. they are standardized in units of standard deviationsC. they have the same distribution meansD. they are not comparable

Q.242 Z score is a type of ____________ score.A. Outlier B. standard C. Normalized D. T

Q.243 The z score for the mean is

A.+1B. –1C. 0 D. unable to be calculated given the information

Q.244 In a normal distribution, what is the z score associated with the mode?A. -1B. 0 C. +1D. There is not enough information.

Q.245 If a z score = 2.5, it is _____ standard deviations above the mean A. 1 B.-2.5 C.3 D.2.5

Q.246 A percentage or area under the curve can also represent the A. meanB. probability of a score occurringC. standard deviationD. variance

Q 247 . The order of convergence of Newton- Raphson Method is A. at least one B.at most two C.at least there D. four

Q.248Newton-Raphson Method fails to find the root of f(x)=0 if:A. f'(x) > 0 B. f(x)< 0C.f'(x) = 0 D. f'(x) <0

Q. 249 the fixes point iteration method defined in the form Xn+1 = g(Xn) converges of:A. g'(x)>1 B. g'(x) =1 C.g'(x)>1 D. None of these

Q. 250 Jacobi Method for system of linear equations has convergence: A. faster than SOR method B. faster than Gauss_siedel

C. faster than Newton's method D. slower than Gauss-siedel e) none of

Solution:1 B. 26 B. 51 B. 76 D. 101 D.2 A. 27 B. 52 B. 77 A. 102 D.3 B. 28 A. 53 A. 78 A. 103 D.4 A. 29 A. 54 B. 79 B. 104 C.5 C. 30 B. 55 B. 80 D. 105 C.6 B. 31 C. 56 C. 81 C. 106 B.7 C. 32 C. 57 D. 82 C. 107 B.8 B. 33 A. 58 A. 83 C. 108 B.9 C. 34 C. 59 B. 84 D. 109 B.10 C. 35 D. 60 B. 85 C. 110 C.11 A. 36 D. 61 A. 86 D. 111 C.12 A. 37 A. 62 B. 87 A. 112 A.13 D. 38 B. 63 C. 88 B. 113 B.14 D. 39 D. 64 B. 89 B. 114 B.15 B. 40 A. 65 B. 90 C. 115 C.16 A. 41 D. 66 D. 91 C. 116 C.17 D. 42 D. 67 B. 92 C. 117 C.18 A. 43 A. 68 C. 93 C. 118 A.

19 C. 44 A. 69 C. 94 B. 119 C.20 B. 45 D. 70 C. 95 A. 120 B.21 A. 46 A. 71 C. 96 B. 121 C.22 A. 47 B. 72 A. 97 B. 122 D.23 B. 48 C. 73 A. 98 C. 123 C.24 C. 49 C. 74 B. 99 C. 124 B.25 C. 50 D. 75 B. 100 A. 125 D.

126 D. 151 B. 176 D. 201 B. 226 A.127 C. 152 D. 177 D. 202 C. 227 A.128 A. 153 C. 178 C. 203 C. 228 D.129 B. 154 B. 179 B. 204 C. 229 C.130 C. 155 C. 180 C. 205 B. 230 C.131 A. 156 C. 181 D. 206 C. 231 C.132 A. 157 C. 182 A. 207 B. 232 A.133 C. 158 B. 183 C. 208 D. 233 B.134 B. 159 D. 184 C. 209 B. 234 C.135 D. 160 A. 185 D. 210 C. 235 D.136 D. 161 B. 186 A. 211 A. 236 C.137 A. 162 C. 187 A. 212 C. 237 C.138 C. 163 B. 188 C. 213 A. 238 D.139 C. 164 A. 189 B. 214 A. 239 C.140 C. 165 C. 190 B. 215 C. 240 D.

141 D. 166 D. 191 C. 216 B. 241 B.142 D. 167 D. 192 B. 217 D. 242 B.143 B. 168 B. 193 D. 218 C. 243 C.144 C. 169 B. 194 A. 219 D. 244 B.145 A. 170 C. 195 A. 220 D. 245 D.146 D. 171 B. 196 B. 221 B. 246 B.147 D. 172 D. 197 B. 222 A. 247 B.148 D. 173 D. 198 D. 223 C. 248 C.149 C. 174 B. 199 C. 224 D. 249 D.150 A. 175 D. 200 A. 225 A. 250 C.