For the following studies, indicate the appropriate test statistic to use given the study information and explain/support your answer. Up to this point we have covered z for X, z for M, single sample t-test, independent measures t-test, and repeated measures t-test (these are your choices). Remember proper in-text citations. a. Can caffeine decrease sleepiness? Researchers ask 36 people to rate their sleepiness on a scale from 0 (not at all tired) to 50 (extremely tired) and then ask them to do the rating again after drinking 5 cups of caffeinated coffee over a 1-hour period. Does caffeine decrease sleepiness ratings? b. The average adult takes 2,000 steps to walk a mile with a standard deviation of 175. I think my family has an unusually long stride so I think we will take significantly fewer steps to walk a mile. I have each person in my family (there are 4 of us) walk a mile and we each count our steps with a fitness tracker. The average number of steps my family took was 1,750. Does my family take significantly fewer steps than the average adult? c. Researchers want to test the impact of a balanced diet. A researcher gets 55 participants for the study and for one month each of the participants eats a cupcake with all three meals a day (breakfast, lunch, and dinner). At the end of that month, the researcher weighs each participant. Then for another month, the researcher has each participant eat 3 meals a day without any desserts and only consuming 2,000 calories