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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
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Suppose that the anthropologist of Exercise 7.43wants the

Chapter 7, Problem 44E

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QUESTION:

Problem 44E

Suppose that the anthropologist of Exercise 7.43wants the difference between the sample mean and the population mean to be less than .4 inch, with probability .95. How many men should she sample to achieve this objective?

Reference

An anthropologist wishes to estimate the average height of men for a certain race of people. If the population standard deviation is assumed to be 2.5 inches and if she randomly samples 100 men, find the probability that the difference between the sample mean and the true population mean will not exceed .5 inch.

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QUESTION:

Problem 44E

Suppose that the anthropologist of Exercise 7.43wants the difference between the sample mean and the population mean to be less than .4 inch, with probability .95. How many men should she sample to achieve this objective?

Reference

An anthropologist wishes to estimate the average height of men for a certain race of people. If the population standard deviation is assumed to be 2.5 inches and if she randomly samples 100 men, find the probability that the difference between the sample mean and the true population mean will not exceed .5 inch.

ANSWER:

Step 1 of 2

Suppose that the anthropologist of Exercise 7.43wants the difference between the sample mean and the population mean to be less than .4 inch, with probability .95, that is,  .

It is required to find the number of men (n)that she should sample to achieve this objective.


Reference

An anthropologist wishes to estimate the average height of men for a certain race of people. If the population standard deviation is assumed to be inches and if she randomly samples 100 men, find the probability that the difference between the sample mean and the true population mean will not exceed .5 inch.

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