# Question

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

a. Let µ1 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 99% confidence interval for µ1 – µ2.

c. Test at a 2.5% significance level if µ1 is lower than µ2.

a. Let µ1 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 99% confidence interval for µ1 – µ2.

c. Test at a 2.5% significance level if µ1 is lower than µ2.

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