Suppose that you are in charge of ordering caps and gowns for senior graduation

Question

Suppose that you are in charge of ordering caps and gowns for senior graduation in May. You know that the heights of the population of students at your college are normally distributed with a mean of 68 inches and a standard deviation of 3 inches. The gown manufacturer wants to know how many students will need to special-order their gowns because they are very tall. Draw graphs in each problem. a. Find the percentage of students who are above 76 inches tall. Then, find how many students who need to special-order their gowns if the population of students at your college is 35,000 students. b. Suppose that we wanted only the tallest our students to have to special-order gowns. What is the height at which tall students will have to special-order gowns. What is the height at which tall students will have to special-order their gowns?

Explanation / Answer

As a is already done i am doing b

Here it is given P(Z>z)=.02

using z table we get P(Z>2.054)=0.02

so z=2.054=x-68/3

hence x=2.054*3+68=74.162

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