An anthropologist wishes to estimate the average height of the inhabitants of a certain region. If the population standard deviation is assumed to be 2.5 inches and if she randomly samples 100 people, find the probability that the difference between the sample mean and the true population mean will not exceed 0.5 inches. If the anthropologist wants the difference between the sample mean and the population to be less than 0.4 inches with probability 95%, what sample size should she use?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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3. An anthropologist wishes to estimate the average height of the inhabitants of a certain region. If
the population standard deviation is assumed to be 2.5 inches and if she randomly samples 100
people, find the probability that the difference between the sample mean and the true population
mean will not exceed 0.5 inches. If the anthropologist wants the difference between the sample
mean and the population to be less than 0.4 inches with probability 95%, what sample size should
she use?
Transcribed Image Text:3. An anthropologist wishes to estimate the average height of the inhabitants of a certain region. If the population standard deviation is assumed to be 2.5 inches and if she randomly samples 100 people, find the probability that the difference between the sample mean and the true population mean will not exceed 0.5 inches. If the anthropologist wants the difference between the sample mean and the population to be less than 0.4 inches with probability 95%, what sample size should she use?
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