In order to compare the means of two populations, independent random samples of 385 observations are selected from each population, with the results found in the table to the right. Complete parts a through e below. Sample 1: - X1 =5,271 S1= 160 Sample 2: - X2= 5,235 S2= 199 a. Use a 95% confidence interval to estimate the difference between the population means ( 1- 2) Interpret the confidence interval. b. Test the null hypothesis Ho: (H; - N2) =0 versus the alternative hypothesis Ha: (14 -H2) #0. Give the significance level of the test, and interpret the result. c. Suppose the test in part b was conducted with the alternative hypothesis Ha: (H - M2) > 0. How would your answer to part b change? Begin bv noting that in this race the taet d. Test the null hypothesis Ho: (H1 - M2) =30 versus Ha: (H4 - M2) *30. Give the significance level and interpret the result. Use a = 0.05. Compare your answer to the test conducted in part b