1. Assume that both populations are normally distributed. (b) Construct a Data: Pop1 pop2 N15 15 X15.4 18 S3.2 4.5 2. Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (b) Construct a 99% confidence interval about mu 11minusmu 22. Upper and lower range? And Find the test statistic for this hypothesis test.= ? NXS- Pop1 24 50.7 7.5 pop2 21 46.6 14.7 3. A study was conducted to determine the effectiveness of a certain treatment. A group of 92 patients were randomly divided into an experimental group and a control group. The table shows the result for their net improvement. Let the experimental group be group 1 and the control group be group 2. P value= ? confidence interval is the range = ? data: experimental control N41 51 X11.1 7.7 S7.1 5 4. A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 75 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men 5454 112.1112.1 11.911.9 1.61.6 Women 7575 118.1118.1 14.114.1 1.61.6 99% CI for mu Menmu Women left parenthesis negative 12.07 comma 0.07 right parenthesis(12.07, 0.07) T-Test mu Men=mu Women left parenthesis vs less than right parenthesis(vs<) T= -2.612.61 P=0.0050 DF=123 P value= ? What is the 95% confidence interval for the mean difference in pulse rates of men versus women? Interpret this result