The dining room in a school is some distance away from the building that has all of the classrooms in it. The school believes that students take longer walking back from the dining room after lunch than they do walking there. The school records the time taken (in seconds) by ten randomly chosen students to walk to the dining room and ten students to walk back to the main school. The recorded times are presented in the following tables.

a. i. Using these data, state which non-parametric test would be most appropriate. Give a reason for your choice and any assumptions you need to make.

ii. Carry out a test of the school's belief at the 5% significance level.

b. Later on, the school discovers that the person who collected the data has used the same ten students and has recorded them in the same order.

i. Which test is now most appropriate to use? Give a reason for your answer.

ii. Using this new information, carry out a test of the school's belief at the 5% significance level.

Transcribed Image Text:

62 58 69 84 45 To the dining hall 96 116 89 51 75 67 85 68 100 49 From the dining hall 121 139 87 54 88