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# A group of 16 mice were exposed to 300 rads of radiation

ISBN: 9780123948113 226

## Solution for problem 8 Chapter 15

Introduction to Probability and Statistics for Engineers and Scientists | 5th Edition

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Introduction to Probability and Statistics for Engineers and Scientists | 5th Edition

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Problem 8

A group of 16 mice were exposed to 300 rads of radiation at the age of 5 weeks. The group was then randomly divided into two subgroups. Mice in the first subgroup lived in a normal laboratory environment, whereas those from the second subgroup were raised in a special germ-free environment. The following data give the lifetimes, in days, of the mice in each group: Group 1 lifetimes: 133, 145, 156, 159, 164, 202, 208, 222 Group 2 lifetimes: 145, 148, 157, 171, 178, 191, 200, 204 Use a permutation test to test the hypothesis that the lifetime distributions are identical. Use the normal approximation to approximate the p-value.

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