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Assume that both populations are normally distributed. Population 1 Population 2 a) Test whether , # #2 at the a= 0.01 level of significance for the given sample data. n 19 19 (b) Construct a 99% confidence interval about , - H2- X 14 6.5 3.3 3.9 (a) Test whether , # #2 at the a = 0.01 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. OA. HO-H, = H2 Hy: H1# H 2 OB. HOH, # H2 H1:H1 = H2 OC. HO-H, # H2 Hy : H 1 > H2 OD. HOH, = H2 H1 : H 1 > H2 Detemine the P-value for this hypothesis test. P=(Round to three decimal places as needed.) Should the null hypothesis be rejected? O A. Reject Ho, there is not sufficient evidence to conclude that the two populations have different means. O B. Reject Ho, there is sufficient evidence to conclude that the two populations have different means O C. Do not reject Ho, there is not sufficient evidence to conclude that the two populations have different means. O D. Do not reject Ho, there is sufficient evidence to conclude that the two populations have different means. (b) Construct a 99% confidence interval about H, - H2 We are 99% confident that the mean difference is between ] and] (Round to two decimal places as needed. Use ascending order.)