Let µ1 and µ2 denote true average tread lives for two competing brands of a certain...

Let µ1 and µ2 denote true average tread lives for two competing brands of a certain radial tires. Test H0 : µ1 − µ2 = 0 versus Ha : µ1 − µ2 6= 0 at level 0.05 using the following data. Show your work step by step. When testing hypotheses, write out the key ingredients of the hypothesis test being conducted.

4-a. m = 45, x = 42, 500, s1 = 2200, n = 45, y = 40, 400, and s2 = 1900.

4-b. m = 30, x = 42, 500, s1 = 2200, n = 30, y = 40, 400, and s2 = 1900. It is assumed that both samples are drawn from normal distributions.

4-c. For the above two cases, construct a confidence interval for µ1 − µ2 with the confidence level 95%, respectively.

Solutions

Expert Solution

b) c) already done in part a and b.

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