[10 5] Two independent samples of sizes n1 and n2 are

Chapter 0, Problem SE6.8

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[10 5] Two independent samples of sizes n1 and n2 are drawn from normal populations with an unknown mean and known standard deviations 1 and 2, respectively. a. If 1 1.22, is it enough to have n1 1.2n2 to guarantee that the standard 95% confidence interval (CI) for constructed from the first be shorter than the 95% CI constructed from the second sample? b. What is the relation between 1, 2, n1, n2 that would guarantee the smaller length of the 95% CI is constructed from the first sample? 734 Sam

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