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Chapter 8: Q.103 (page 485)

The average height of young adult males has a normal distribution with a standard deviation of 2.5 inches. You want to estimate the mean height of students at your college or university to within one inch with 93 per cent confidence. How many male students must you measure?

Short Answer

Expert verified

21male adult students should be measured.

Step by step solution

01

Introduction 

The standard deviation is a proportion of how much variety or scattering of a bunch of values. A low standard deviation shows that the values will generally be close to the mean of the set, while an elevated expectation deviation demonstrates that the values are fanned out over a more extensive territory.

02

Explanation 

Within the population,

The average height of young adult males has a normal distribution with a standard deviation of2.5inches.

To estimate the mean height of students within one inch with confidence level =93%

Let the number of students to be measured be n,

By using,

n=z2σ2EBM2

on substituting the values,

n=1.8122×2.5212=21

21male adult students should be measured.

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Most popular questions from this chapter

A sample of 20heads of lettuce was selected. Assume that the population distribution of head weight is normal. The weight of each head of lettuce was then recorded. The mean weight was 2.2pounds with a standard deviation of 0.1pounds. The population standard deviation is known to be 0.2pounds.

What would happen if 40 heads of lettuce were sampled instead of 20, and the confidence level remained the same?

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