A test will be made of H0: 1 = 2 versus H1: 1 > 2. The sample

A test will be made of H0: μ1 = μ2 versus H1: μ1 > μ2. The sample sizes were n1 = 10 and n2 = 20.

The sample standard deviations were s1 = 3 and s2 = 8.

a. Compute the critical value for a level α = 0.05 test, using 1 less than the smaller of the two sample sizes for the degrees of freedom.

b. Use the expression in Section 10.1 to compute a more accurate number of degrees of freedom.

c. Use the more accurate number of degrees of freedom to compute the probability of rejecting H0 when it is true when the critical value found in part

(a) is used. You will need technology to find the answer.