Two independent samples have been selected, 55 observations from population 1 and 68 observations from population 2. The sample means have been calculated to be x = 12.9 and x2 = 13.9. From previous experience with the of = 36 and of = 32. (a) Determine the rejection region for the test of Ho : (u: - 42) = 0 and Ha : (H: - H2) < 0 Use a = 0.005. z

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Two independent samples have been selected, 55 observations from population 1 and 68 observations from population 2. The sample means have been calculated to be x1 = 12.9 and x2 = 13.9. From previous experience with these populations, it is known that the variances are
of = 36 and o; = 32.
(a) Determine the rejection region for the test of Ho : (u1 - u2) = 0 and H. : (H1 - 42) <O Use a = 0.005.
(b) Compute the test statistic.
The final conclustion is
O A. There is not sufficient evidence to reject the null hypothesis that (u; - H2) = 0.
O B. We can reject the null hypothesis that (u1 - H2) = 0 and accept that (u1 - u2) < 0.
Transcribed Image Text:Two independent samples have been selected, 55 observations from population 1 and 68 observations from population 2. The sample means have been calculated to be x1 = 12.9 and x2 = 13.9. From previous experience with these populations, it is known that the variances are of = 36 and o; = 32. (a) Determine the rejection region for the test of Ho : (u1 - u2) = 0 and H. : (H1 - 42) <O Use a = 0.005. (b) Compute the test statistic. The final conclustion is O A. There is not sufficient evidence to reject the null hypothesis that (u; - H2) = 0. O B. We can reject the null hypothesis that (u1 - H2) = 0 and accept that (u1 - u2) < 0.
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