Fifteen adult males between the ages of 35 and 50 participated in a study to evaluate the effect of diet and exercise on blood cholesterol levels. The total cholesterol was measured in each subject initially and then three months after participating in an aerobic exercise program and switching to a low-fat diet. The data are shown in the following table.

(a) Do the data support the claim that low-fat diet and aerobic exercise are of value in producing a mean reduction in blood cholesterol levels? Use α = 0.05. Find the P-value.

(b) Calculate a one-sided confidence limit that can be used to answer the question in part (a).

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Blood Cholesterol Level Subject Before After 1 265 229 240 231 258 227 4 295 240 5 251 238 6. 245 241 287 234 8. 314 256 9. 260 247 10 279 239 11 283 246 12 240 218 13 238 219 14 225 226 15 247 233 2.