How many pairs of shoes do teenagers have? To find out, a group of AP® Statistics students conducted a survey. They selected a random sample of 20 female students and a separate random sample of 20 male students from their school. Then they recorded the number of pairs of shoes that each student reported having. Here are their data:

Let  the true mean number of pairs of shoes that male students at the school have and  the true mean number of pairs of shoes that female students at the school have.Check if the conditions for calculating a confidence interval for  are met.

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Males 14 12 38 8 7 10 10 Females 50 26 26 31 57 19 24 22 23 38 Males 10 11 4 5 22 7 10 35 7 Females 13 50 13 34 23 30 49 13 15 51