Assume that both populations are normally distributed. (a) Test whether My # Uz at the o = 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about 1 - H2. (a) Test whether My # 12 at the o = 0.05 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. OA. Holy = H2 Hy:1 1 >H2 OB. Ho:My = H2 OC. Holy # H2 Hy:My = H2 OD. HO:My * H2 Hy : 1 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. Do not 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. Reject Ho, there is sufficient evidence to conclude that the two populations have different means. (b) Construct a 95% confidence interval about 1 - H2 We are 95% confident that the mean difference is between | | and]. Round to two decimal places as needed. Use ascending order.)Population 1 Population 2 13 13 X 18.4 19.7 S 5.1 4 4