The following information was obtained from two independent samples selected from two normally distributed populations with unknown but equal standard deviations.

a. Let 1 be the mean of population 1 and 2 be the mean of population 2. What is the point estimate of µ1 €“ µ2?
b. Construct a 98% confidence interval for µ1 €“ µ2.
c. Test at a 1% significance level if µ1 is greater than µ2.

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Sample 47.7 46.9 51.9 34.1 65.8 61.5 50.2 40.8 53.1 46.1 47.9 45.7 49.0 Sample 2: 50.0 474 32.7 48.8 54.0 46.3 42.5 40.8 39.0 68.2 48.5 41.8