The data below show the number of points that UIUC's and Purdue's football team obtained during each game they played in the 2019 football season.

UIUC Purdue

52 31

44 38

14 24

27 28

14 21

20 10

13 7

0 55

48 14

3 7

23 20

14 36

Do the data provide enough evidence to indicate that UIUC is capable of scoring more points than Purdue during a typical game from the 2015 football season? Assume that the UIUC games and Purdue games are independent samples. Use = 0.05. Show all seven steps of the hypothesis test and give a complete conclusion.