Problem 3E

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

A random sample of size n = 27 from a bivariate normal distribution yielded a sample correlation coefficient of r = −0.45. Would the hypothesis H0: ρ = 0 be rejected in favor of H1: ρ≠ 0 at an α = 0.05 significance level?

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