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.

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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