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4. To investigate the effectiveness of a medication on increasing good cholesterol ( levels in patients, the cholesterol level in five patients was measured

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4. To investigate the effectiveness of a medication on increasing "good" cholesterol ( levels in patients, the cholesterol level in five patients was measured at the beginning and then at the end of a three-month regimen on the drug. Results are shown in the table. Member 1 2 3 4 5 Start 105 121 115 134 128 End 113 127 114 136 131 The difference in the cholesterol levels was computed; this difference data was found to have a mean of 3.6 and a standard deviation of 3.51. Assume that the cholesterol levels are approximately normally distributed. a. What are the appropriate hypotheses to test the effectiveness of the drug using a paired- sample t test? b. Determine the t statistic. c. Was the medication found to be effective? Explain.

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