A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholesterol levels, in milligrams per deciliter, were measured before and after treatment for each individual, with the following results:

a. Construct a 90% confidence interval for the mean reduction in cholesterol level.

b. A physician claims that the mean reduction in cholesterol level is more than 80 milligrams per deciliter. Does the confidence interval contradict this claim?

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Individual Before After 1234 283 215 299 206 3 274 187 284 212 5 248 178 6 275 212 7 293 192 00 8 277 196