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Question 7: (14 points) A new drug designed to reduce fever is being tested for efcacy and side effects. Ten patients entering a hospital with a high fever were selected at random. The temperature (in 0F) of each patient was measured, the drug was administered, and two hours later, the temperature was measured again. The data are provided in the table below. Patient Before Drug After Drug Difference (Before After) 1 102.6 99.8 2.8 2 99.2 98.8 0.4 3 102.3 97.5 4.8 4 101.1 100.3 0.8 5 102.7 99.6 3.1 6 102.6 102.8 0.2 7 100.5 99.0 1.5 8 103.5 101.8 1.7 9 105.7 97.1 8.6 10 104.3 99.2 5.1 Mean 102.44 99.59 2.85 Stande Deviation 1.867 1.746 2.680 (a) Conduct the appropriate hypothesis test to determine whether there is any evidence that the new drug reduces the mean patient temperature after two hours. Use a : 0.05. (12 points) (b) What assumption(s) must be satised for your test to be valid? (2 points)