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Every year students at a high school take a physical fitness test during their gym classes....

Every year students at a 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, according to gender. Assuming that students 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 16 28 30 17 23 31 27 21 23 14 10 35

Girls 25 8 15 17 3 16 19 26 10 27 30 8

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