Question: 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

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  0, using

 0.05. What is the P-value for this test?

(b) Find a 95% confidence interval on .

(c) Test the hypothesis H0:  0.8 versus H1:  0.8, using

 0.05. Find the P-value for this test.

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