(In some of the exercises that follow, we must

Chapter 9, Problem 11E

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Problem 11E

(In some of the exercises that follow, we must make assumptions of normal distributions with the usual notation.)

Let X and Y have a bivariate normal distribution with correlation coefficient ρ. To test H0: ρ = 0 against H1: ρ ≠ 0, a random sample of n pairs of observations is selected. Suppose that the sample correlation coefficient is r = 0.68. Using a significance level of α = 0.05, find the smallest value of the sample size n so that H0 is rejected.

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