Question

in order to compare the means of two populations, independent random samples of 400 observations are selected from each population with the results: sample 1: x1= 5275 and s1= 150 sample 2: x2= 5240 and s2 = 200 a. use a 95% confidence interval to estimate the difference between the population means (m1-m2) interpret the difference. b. test the null hypothesis (m1-m2 = 0) versus the alternative (m1-m2 isn't = to 0). give the p-value of the test and interpret the result. c. suppose the test in part b were conducted with the alternative hypothesis (m1-m2)>0, how would your answer to part b change? d. test the null hypothesis (m1-m2) = 25 versus the alternative (m1-m2) isn't equal to 25. give the p-value and interpret the result. compare your answer with that obtained from the test conducted in part b. e. what assumptions are necessary to ensure the validity of the inferential procedures applied in parts A-D?

Answer 1