Question: Independent random samples were selected from two normally distributed populations with means m1 and m2, respectively. The sample sizes, means, and variances are LO3 shown

Independent random samples were selected from two normally distributed populations with means m1 and m2, respectively. The sample sizes, means, and variances are LO3 shown in the following table.

Sample 1 Sample 2 n1 = 14 n2 = 12 x1 = 19.8 x2 = 17.3 s21 = 60.5 s22 = 74.2

a. Test H0: 1m1 - m22 = 0 against Ha: 1m1 - m22 7 0.
Use a = .05.

b. Form a 99% confidence interval for 1m1 - m22.

c. How large must n1 and n2 be if you wish to estimate 1m1 - m22 to within two units with 99% confidence?
Assume that n1 = n2.

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