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 micro 1 micro 2 b Construct a 98 confidence interval for micro 1 micro 2 c Test at a 1 significance level if micro 1 is greater than micro 2 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

Question: 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 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.

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

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