Question: Suppose the results of the analyses in Problem 15 through Problem 17 are reported and criticized because the participants were not randomized to different diets, and that there may be other factors associated with changes in cholesterol. A third study is run to estimate the effect of the low-carbohydrate diet on cholesterol levels. In the third study, participants' cholesterol levels are measured before starting the program and then again after 6 months on the program. The data are shown below:

Is there a significant increase in cholesterol after 6 months on the low-carbohydrate diet? Run the appropriate test at a 5% level of significance.

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