A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decrease in the amount of food consumption. To test this hypothesis, they monitored food intake for a group of 44 patients who were randomized into two equal groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any added distractions. Patients in the treatment group ate 52.1 grams of biscuits, with a standard deviation of 45.1 grams, and patients in the control group ate 27.1 grams of biscuits, with a standard deviation of 26.4 grams. The researchers also investigated the effects of being distracted by a game on how much people eat. The 22 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 the patients in this group was 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, with a standard deviation of 1.8. The hypotheses are H0: T= Cand HA: TC. We aretold to assume that conditions for inference are satisfied.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?

1. What isT?

a. -2.21

b. -1.22

c. 0.56

d. 2.58

1. How many degrees of freedom?

a. 20

b. 21

c. 22

d. 23

1. True or False: The p-value is greater than 0.05.
2. True or False: We fail to reject the null hypothesis. The data do not provide convincing evidence that the average number of food items recalled by the patients in the treatment and control groups are different.