Problem 1. Below are the names of five hypothesis tests we covered. For each scenario in Parts A-D, first identify the hypothesis test that is most appropriate to use, then check all assumptions to determine whether the hypothesis test should be done given the way the data was collected. [3 pts each] a. One sample t-test b. Two independent samples t-test c. Matched pairs t-test d. One sample proportion (Large Sample) z-test e. Two sample proportions z-test A) Cam wants to know whether Albertson's has lower prices than Ralph's. He purchases the same basket of foods at five randomly selected Ralph's stores and eight randomly selected Albertson's. The price distribution for Albertson's seems to be skewed right. lest to use: (choose a letter a-e) Should he do it? (Yes/No) Check assumption:s B) Tony wants to know if his strength-training program works. For each of the 50 randomly selected volunteers, he measures the number of push-ups they can do before the program and the number of push-ups they can do after participating in his program for six weeks Test to use (choose a letter a-e) Should he do it? (Yes/No) Check assumption:s C) According to ASTM standard D5585, a women's size 6 is supposed to correspond to a waist size of 27 inches. Grace measures all of the size 6 clothing in her and her best friend's closets in an attempt to show that manufacturers, on average, do not conform to this standard Test to use (choose a letter a-e) Should she do it? (Yes/No) Check assumption:s D) Raquel would like to show that over half of all children do not eat healthy enough at lunch. She obtains a simple random sample of 500 schoolchildren and finds that 60% of them do not eat any vegetables with their school lunch Test to use (choose a letter a-e) Should she do it? (Yes/No) Check assumption:s