A test is conducted on a new drug treatment to improve patient's memories. The scores of the 9 subjects before and after the new treatment are given on the table. Before 55 57 57 64 64 67 70 71 After 57 71 63 67 67 70 72 73 80 81 What is the 95% confidence interval for the improvement of test scores after the new treatment is given to the patients?A hypothesis test is conducted with HO: p1 - 2 =-5 vs. Ha: 1- 2 4. Given the sample data below, what is the observed tail area, P, of the test given? n =42 , x = 52.8 , S = 6.0 n, = 59 , X, = 44.7 7 , S, =8.4Male Female Row Totals High School 21 19 40 College 28 32 60 Column Totals 49 51 1 = 100 The *2 test statistic when testing the independence of these two factors isWhat is the 95% confidence interval for the difference in the population means, 1 - p2, given the data from the two independent samples: n, =56 , x =58.2 , S, =4.3 n2 = 45 , X, = 60.2 , S, = 5.5Male Female Row Totals High School 21 19 40 College 28 32 60 Column Totals 49 51 7 = 100 The expected value in the shaded cell of the two-way contingency table isWhat is the 98% confidence interval for the difference in the population means, p1 - 2, given: n = 22 X = 41.4 S, =5.9 = 19 X, = 43.2 , $2 = 6.5-What is the 95% condence interval for the difference in the population means using paired samples given the sample data: sdzzns, 5,120.75, 11:16