Every year the students at Gossett High School take a physical fitness test during their gym classes. One component of the test asks them to do as many push-ups as they can. Results for one class are shown below, separately for boys and girls.
Assuming that students at Gossett are assigned to gym classes at random, create a 90% confidence interval for how many more push-ups boys can do than girls, on average, at that high school.
Boys
|
17
|
27
|
31
|
17
|
25
|
32
|
28
|
23
|
25
|
16
|
11
|
34
|
Girls
|
24
|
7
|
14
|
16
|
2
|
15
|
19
|
25
|
10
|
27
|
31
|
8
|