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1Copyright 2014, 2010, 2007 Pearson Education, Inc.
Active Learning Lecture Slides
Elementary StatisticsTwelfth Edition
and the Triola Statistics Series
by Mario F. Triola
1Copyright 2014, 2010, 2007 Pearson Education, Inc.
Chapter 7:
Estimates and Sample Sizes
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2Copyright 2014, 2010, 2007 Pearson Education, Inc.
Find the critical value for z/2
that corresponds
to a level of confidence of 98%.
A. 2.7
!. 2.""
C. #.7
$. 2.
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3Copyright 2014, 2010, 2007 Pearson Education, Inc.
Find the critical value for z/2
that corresponds
to a level of confidence of 98%.
A. 2.7
!. 2.""
C. #.7
$. 2.
#& = 0.98/2 = 0.01
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Copyright 2014, 2010, 2007 Pearson Education, Inc.
Find the mar'in of error for the 9%confidence interval used to estimate the
population proportion (ith n) #*" andx) 9*.
A. .*8!. .7
C. .#"2
$. .29#
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!Copyright 2014, 2010, 2007 Pearson Education, Inc.
Find the mar'in of error for the 9%confidence interval used to estimate the
population proportion (ith n) #*" andx) 9*.
A. .*8!. .7
C. .#"2
$. .29#
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"Copyright 2014, 2010, 2007 Pearson Education, Inc.
+9 randoml, selected li'ht -ul-s (ere testedin a la-orator, 29# lasted more than
hours. Find a point estimate of the trueproportion of all li'ht -ul-s that last more than hours.
A. .*"2
!. ."**
C. ."88
$. .*"+
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8/10/2019 Chapter 7 Active Review Elementary Statistics
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/se the confidence level and sample data tofind the mar'in of error E.
Colle'e students0 annual earnin's:
99% confidence n) 7+x) 1"9*7 ) 187+
A. 12*2
!. 19
C. 12"7
$. 1##87
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/se the confidence level and sample data tofind the mar'in of error E.
Colle'e students0 annual earnin's:
99% confidence n) 7+x) 1"9*7 ) 187+
A. 12*2
!. 19
C. 12"7
$. 1##87
E for mean (hen is known
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o find the standard deviation of the diameterof (ooden do(els the manufacturer
measures #9 randoml, selected do(els andfinds the standard deviation of the sample to-e s) .#*. Find the 9% confidence intervalfor the population standard deviation .
A. .#" 3 < .22
!. .#2 3 < .2+
C. .## 3 < .2
$. .# 3 < .2#
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o find the standard deviation of the diameterof (ooden do(els the manufacturer
measures #9 randoml, selected do(els andfinds the standard deviation of the sample to-e s) .#*. Find the 9% confidence intervalfor the population standard deviation .
A. .#" 3 < .22
!. .#2 3 < .2+
C. .## 3 < .2
$. .# 3 < .2#
n 1( )s2
R2
<
A. 0 &.2!
5. 0 &.!
+. 0 &.&&!
6. 0 &.%!
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2#Copyright 2014, 2010, 2007 Pearson Education, Inc.
hen co'(uting sa'(le si/e and no esti'ate of is
8nown it is best to assu'e>
A. 0 &.2!
5. 0 &.!
+. 0 &.&&!
6. 0 &.%!
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2$Copyright 2014, 2010, 2007 Pearson Education, Inc.
@ow 'any adults 'ust be surveyed in order to be %!
confident that the sa'(le (ercentage is in error by no
'ore than three (ercentage (oints Bse a recent result
fro' the +ensus 5ureau indicating that "" of adults buyclothing online. Cound to ne
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2%Copyright 2014, 2010, 2007 Pearson Education, Inc.
@ow 'any adults 'ust be surveyed in order to be %!
confident that the sa'(le (ercentage is in error by no
'ore than three (ercentage (oints Bse a recent result
fro' the +ensus 5ureau indicating that "" of adults buyclothing online. Cound to ne
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3&Copyright 2014, 2010, 2007 Pearson Education, Inc.
)n order to esti'ate the 4o(ulation Mean we 'ust 8now
that the 4o(ulation is nor'ally distributed or that
A.The (o(ulation is cra/y
5.The confidence level is %%
+.The sa'(le si/e is greater than 3&
6.The 'argin of error is less than 1.
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31Copyright 2014, 2010, 2007 Pearson Education, Inc.
)n order to esti'ate the 4o(ulation Mean we 'ust 8now
that the 4o(ulation is nor'ally distributed or that
A.The (o(ulation is cra/y
5.The confidence level is %%
+.The sa'(le si/e is greater than 3&
6.The 'argin of error is less than 1.
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32Copyright 2014, 2010, 2007 Pearson Education, Inc.
To locate a critical value in a T6istribution table we need
to 8now the level of confidence as well as the
A.6egree of freedo'
5.Margin of Error
+.+onfidence )nterval
6.=one of the above o(tions.
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33Copyright 2014, 2010, 2007 Pearson Education, Inc.
To locate a critical value in a T6istribution table we need
to 8now the level of confidence as well as the
A.6egree of freedo'
5.Margin of Error
+.+onfidence )nterval
6.=one of the above o(tions.
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3Copyright 2014, 2010, 2007 Pearson Education, Inc.
)f 'y sa'(le si/e 0 1! the degree of freedo' that ) need
for loo8ing u( a critical value in the T6istribution table is
A.1!
5.3&
+.2
6.1
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3!Copyright 2014, 2010, 2007 Pearson Education, Inc.
)f 'y sa'(le si/e 0 1! the degree of freedo' that ) need
for loo8ing u( a critical value in the T6istribution table is
A.1!
5.3&
+.2
6.1
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3"Copyright 2014, 2010, 2007 Pearson Education, Inc.
The e
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3#Copyright 2014, 2010, 2007 Pearson Education, Inc.
The e
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3$Copyright 2014, 2010, 2007 Pearson Education, Inc.
)n a test of the effectiveness of garlic % subects were
treated with doses of raw garlic and their cholesterol
levels were 'easured before and after the treat'ent.
The changes in their levels of L6L cholesterol Cin 'g:dLDhave a 'ean of &. and a standard deviation of 21.&.
hat is the Margin of Error Assu'e a +onfidence Level
of %!.
A.3.1%"
5.".&2#
+.21.3%
6.%.2"
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3%Copyright 2014, 2010, 2007 Pearson Education, Inc.
)n a test of the effectiveness of garlic % subects were
treated with doses of raw garlic and their cholesterol
levels were 'easured before and after the treat'ent.
The changes in their levels of L6L cholesterol Cin 'g:dLDhave a 'ean of &. and a standard deviation of 21.&.
hat is the Margin of Error Assu'e a +onfidence Level
of %!.
A.3.1%"
5.".&2#
+.21.3%
6.%.2"
0 &.&!.
n0 %df 0 % G 1 0 $
+losest df is !&
so 0 2.&&%
s0 21.&
2a
t
2
/a
E t s n=
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&Copyright 2014, 2010, 2007 Pearson Education, Inc.
As the sa'(le si/e ngets larger the Studenttdistribution
gets
A.flatter
5.s8ewed
+.+loser to the nor'al distribution
6.=one of the above o(tions is correct.
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1Copyright 2014, 2010, 2007 Pearson Education, Inc.
As the sa'(le si/e ngets larger the Studenttdistribution
gets
A.flatter
5.s8ewed
+.+loser to the nor'al distribution
6.=one of the above o(tions is correct.
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3Copyright 2014, 2010, 2007 Pearson Education, Inc.
Assu'e that we want to esti'ate the 'ean )* score for
the (o(ulation of statistics students. e are told that the
'a
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Copyright 2014, 2010, 2007 Pearson Education, Inc.
hat is the 'ini'u' re-uired sa'(le si/e for an esti'ate
of (o(ulation variance 2 if you want to be %% confident
that the sa'(le variance is within ! of the (o(ulation
variance
A.#"$
5.31%
+.!!$
6.133"
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hat is the 'ini'u' re-uired sa'(le si/e for an esti'ate
of (o(ulation variance 2 if you want to be %% confident
that the sa'(le variance is within ! of the (o(ulation
variance
A.#"$
5.31%
+.!!$
6.133"See Table #2 4g. 3"#