Question 2 and 3

#2 Assume that both populations are normally distributed. Test whether 1 # 2 at the a = 0.05 level of significance for the given sample data. Show above 6 steps (a) - (f) Population 1 Population 2 n 14 14 Mean 15.5 20.7 S 3.8 4.1 a. Write both null and alternative. Indicate the tail. b. Find test statistics (show formula and final answer with two decimals) c. Find P-value (round to 4 decimal places): d. Write the conclusion in the contest of the problem e. Find a 95% confidence interval for M1 - M2 f. Interpret your intervals. #3: Assume that both populations are normally distributed." Test whether M1 > u2 at the a = 0.05 level of significance for the given sample data. Show above 6 steps (a) - (f) Population 1 Population 2 on to prove that p1 # P2 n 12 19 Mean 28.9 18.7 -0.02, 0.14) S 2.8 3.1 a. Write both null and alternative. Indicate the tail. b. Find test statistics (show formula and final answer with two decimals) c. Find P-value (round to 4 decimal places): d. Write the conclusion in the contest of the problem e. Find a 95% confidence interval for M1 - M2 f. Interpret your intervals