Suppose that the mean cholesterol level for males aged 50 is241. An investigator wishes to examine whether cholesterol levelsare significantly reduced by modifying diet only slightly. A sampleof 12 patients agrees to participate in the study and follow themodified diet for 3 months. After 3 months, their cholesterollevels are measured and the summary statistics are produced on then = 12 subjects. The mean cholesterol level in the sample is 235with a standard deviation of 12.5. Based on the data, is therestatistical evidence that the modified diet reduces cholesterol at5% significance level? Calculate the value of the test statisticfor the appropriate hypothesis
