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Data for the life of tires yields a sample standard deviation of 3645.94 km with n=18....

Data for the life of tires yields a sample standard deviation of 3645.94 km with n=18.

(a) Can you conclude, using α = 0.01, that the standard deviation of tire life is less than 4000 kilometers? State any necessary assumptions about the underlying distribution of the data. Find the P-value for this test.

(b) Explain how you could answer the question in part (a) by constructing a 99% one-sided confidence interval for σ.

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