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# (In some of the exercises that follow, we must | Ch 8.2 - 8E ISBN: 9780321923271 41

## Solution for problem 8E Chapter 8.2

Probability and Statistical Inference | 9th Edition

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Problem 8E

PROBLEM 8E

(In some of the exercises that follow, we must make assumptions such as the existence of normal distributions with equal variances.)

Let X and Y denote the tarsus lengths of male and female grackles, respectively. Assume that X is N(μX, σ2X)and Y is N(μY, σ2Y ). Given that n = 25, s2x= 4.88, m = 29, y = 31.66, and s2y= 5.81, test the null hypothesis H0: μX = μY against H1: μX > μY with α = 0.01.

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##### ISBN: 9780321923271

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