Independent random samples were selected from two normally distributed populations with means m1 and m2, respectively. The sample sizes, means, and variances are shown in the following table:
a. Test H0: (μ1 – μ2) = 0 against Ha: (μ1 – μ2)> 0. Use α = .05.
b. Form a 99% confidence interval for (μ1 – μ2).
c. How large must n1 and n2 be if you wish to estimate (μ1 – μ2)to within two units with 99% confidence? Assume that n1 = n2.
Sample 1 | Sample 2 |
n1 = 12 = 17.8 s21 = 74.2 | n2 = 14 = 15.3 s22= 60.5 |
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