A random sample of n = 25 observations was made on the

Chapter 11, Problem 78E

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Problem 78E

A random sample of n = 25 observations was made on the time to failure of an electronic component and the temperature in the application environment in which the component was used.

(a) Given that r = 0.83, test the hypothesis that ρ = 0 using α = 0.05. What is the P-value for this test?

(b) Find a 95% confidence interval on ρ.

(c) Test the hypothesis H0: ρ = 0.8 versus H1: ρ ≠ 0.8, using α = 0.05. Find the P-value for this test.

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