Homework 13: Problem 7 Previous Problem Problem List Next Problem (1 point) Two independent samples have been selected, 59 obsen/ations from population 1 and 79 observations from population 2. The sample means have been calculated to be $1 = 8.3 and f2 = 7.7. From previous experience with these populations, it is known that the variances are (71 = 22 and (72 = 26. For the hypothesis test of H0 : (\"1 [42) S 0 and Ha : ([41 [42) > 0 Use a = 0.02. (a) Compute the test statistic. Z: (b) Find the approximate pvalue p value = The final conclustion is A. We can reject the null hypothesis that (\"1 [42) S 0 and accept that (/41 #2) > 0. B. There is not sufficient evidence to reject the null hypothesis that (m \"2) S 0. Homework 13: Problem 8 Previous Problem Problem List Next Problem (1 point) Two independent samples have been selected, 70 observations from population 1 and 82 observations from population 2. The sample means have been calculated to be x1 = 13.2 and x2 = 9.8. From previous experience with these populations, it is known that the variances are o? = 31 and o? = 21. For the hypothesis test of Ho : (M1 - M2) = 1.5 and Ha : (M1 - M2) # 1.5 Use a = 0.05. (a) Compute the test statistic. Z = (b) Find the approximate p-value p - value = The final conclustion is A. There is not sufficient evidence to reject the null hypothesis that (M1 - M2) = 1.5. B. We can reject the null hypothesis that (M1 - M2) = 1.5 and accept that (M1 - M2) # 1.5.Homework 13: Problem 9 Previous Problem Problem List Next Problem (1 point) Test the claim that the two samples described below come from populations with different means. Assume that the samples are independent simple random samples, and that 0-1 = 2.5 and for the first population and 0-2 = 2.5 for the second population. Use a significance level of 0.04. Sample 1: n1 = 84, Y1 = 16. Sample 2: n2 = 66, E2 = 19. The test statistic is The PValue is approximately The conclusion is A. There is sufficient evidence to warrant rejection of the claim that the two populations have the same mean. B. There is not sufficient evidence to warrant rejection of the claim that the two populations have the same mean