Question: A health spa claims that a new exercise program will reduce a person's waist size by 2 centimeters on the average over a 5-day period.

A health spa claims that a new exercise program will reduce a person's waist size by 2 centimeters on the average over a 5-day period. The waist sizes of 6 men who participated in this exercise program are recorded before and after the 5-day period in the following table: By computing a 95% confidence interval for the mean reduction in waist size, determine whether the health spa's claim is valid. Assume the distribution of differences of waist sizes before and after the program to be approximately normal.

Man Waist Size Before Waist Size After 90.4 95.5 91.7 2 97.4

Man Waist Size Before Waist Size After 90.4 95.5 91.7 2 97.4 112.8 101.3 3 98.7 115.9 104.0 6. 85.6 84.0

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