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An anthropologist wishes to estimate the average height of
Chapter 7, Problem 43E(choose chapter or problem)
Problem 43E
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 43E
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
Given that,
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 n = 100 men.
It is required to find the probability that the difference between the sample mean and the true population mean will not exceed .5 inch, that is,