Solve it as the hypothesis test: Difference of two means unpaired data notes

2. Rescarchers investigated the effects of being distracted by a game on how much people eat. A random sample of 44 patients was selected for this study and then randomly assigned to either the treatment group or the control group. The patients in the treatment group who ate their lunch while playing solitaire were asked to do a serial-order recall of the food lunch items they ate. The average number of items recalled by patients in this group was 4.9 (; = 4.9) with a standard deviation of ; = 1.8. The average number of items recalled by the patients in the control group (no distraction) was 6.1 (X; = 6.1) with a standard deviation of s = 1.8. a. Do these data provide strong evidence that the average number of food items recalled by the patients in the treatment and control groups are different? Complete ALL STEPS of the appropriate hypothesis test to earn credit for this problem. b. Construct a 95% confidence interval for the mean difference in number of items recalled by patients in the treatment group compared to the control group