Working it ...

zzZzz by Eyþór

Find the percent of z-scores in a standard normal distribution that are:

(b) above z = -2.35(a) below z = 0.52

(c) between z = -1.11 and z = 0.92 (d) between z = 0.55 and z = 0.15

Find the z-score if the area under a standard normal curve:

(a) to the left of z is 0.812

invNorm(0.812)

(b) to the right of z is 0.305

(c)to the right of z is 0.785

Determine the values for z and x.

A club called "The Beanstalk Club" has a minimum height requirement of 5'10''. Women in North America have a mean height of 5' 5.5'', and a standard deviation of 2.5''. What percentage of women are eligible? Assume that the heights of women normally distributed. Include a sketch with your answer.

A club called "The Beanstalk Club" has a minimum height requirement of 5'10''. Women in North America have a mean height of 5' 5.5'', and a standard deviation of 2.5''. What percentage of women are eligible? Assume that the heights of women normally distributed. Include a sketch with your answer.

A club called "The Beanstalk Club" has a minimum height requirement of 5'10''. Women in North America have a mean height of 5' 5.5'', and a standard deviation of 2.5''. What percentage of women are eligible? Assume that the heights of women normally distributed. Include a sketch with your answer.

Working in "Feet"

A club called "The Beanstalk Club" has a minimum height requirement of 5'10''. Women in North America have a mean height of 5' 5.5'', and a standard deviation of 2.5''. What percentage of women are eligible? Assume that the heights of women normally distributed. Include a sketch with your answer.

Working in "Inches"

An orange producer who calls himself Doctor Juice grows an exclusive variety of oranges which are sorted into three categories and sold at different prices.

The diameters of the oranges are distributed normally with a mean of 84 mm and a standard deviation of 12 mm.

(a) What percent of the oranges are sorted into the small category?

(b) What is the minimum diameter (rounded to the nearest millmeter) of a Jumbo Orange?

(c) What is the expected income from 2000 unsorted oranges,

The rest of these slides are your homework.

Description Size Price per orangeSmall less than 75mm 12 centsJumbo largest 12% 45 centsRegular all others 35 cents

Forty students measured the width of the gym, and wrote their measurements in centimetres, rounded to the nearest cm. The measurements are recorded on the table below.

Draw a histogram of the data. Using the properties of a Normal Distribution, determine if the data is approximately normal.

2251 2249 2250 2247 2253 2248 2249 22532254 2247 2250 2253 2248 2255 2249 22492250 2251 2252 2250 2249 2250 2247 22502250 2252 2253 2255 2254 2248 2248 22422249 2245 2251 2246 2250 2246 2251 2246

A college aptitude test is scaled so that its scores approximate a normal distribution with a mean of 500 and standard deviation of 100.

(b) Find the score x, such that 76 percent of the students have a score less than x.

(a) Find the probability that a student selected at random will score 800 or more points.

The weights of babies born in a certain hospital average 8 lb 1 oz, with a standard deviation of 12 oz. Assume that the weights are normally distributed.

(c) Find the weight, W, such that the percentage of babies with a birth weight less than W is 25 percent.

(b) Find the weight, W, such that the percentage of babies with a birth weight greater than W is 60 percent.

(a) Find the percentage of babies with a birth weight between 7 and 9 pounds.

The life of a toaster is found to be normally distributed with a mean life of 4.7 years and a standard deviation of 0.9 years. The manufacturer of the toaster will replace free of charge any toaster that malfunctions while under warranty. For how many months should the manufacturer guarantee the toasters if no more than 10 percent of them are to be replaced? Will the manufacturer likely replace 10 percent of the toasters?