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A sample of 400 students at a Big Ten University was taken after the midterm to

ID: 3202823 • Letter: A

Question

A sample of 400 students at a Big Ten University was taken after the midterm to ask them whether they went tailgating before the big game over the weekend before the midterm or spent the weekend studying, and whether they did well or poorly on the midterm. The following data contains the results. From the data above, of those that went Tailgating the weekend before the midterm in the sample, percent of them did well on the midterm. 15 27.27 30 55 If the sample is a good representation of the population, we can expect percent of those who spent the weekend. studying to do poorly on the midterm. 10 20 45 50 If the sample is a good representation of the population, we can expect percent of those who did poorly on the midterm to have spent the weekend studying 10 22.22 45 50

Explanation / Answer

a) P(did well on midterm) = 220/400 =0.55 =55%

b) P(Poorly on the midterm) = 180/400 =45%

c) P(did poorly on the midterm to have spent the weekend studying) =40/400 =10%