Question 2 (1 point) Suppose that the mean cholesterol level for males aged 50 is 241. An investigator wishes to examine whether cholesterol levels are significantly reduced by modifying diet only slightly. A sample of 12 patients agrees to participate in the study and follow the modified diet for 3 months. After 3 months, their cholesterol levels are measured and the summary statistics are produced on the n = 12 subjects. The mean cholesterol level in the sample is 235 with a standard deviation of 12.5. Based on the data, is there statistical evidence that the modified diet reduces cholesterol at 5% significance level? To do the above test of hypothesis, what is the appropriate null and alternative hypothesis?
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