Recorded here are the amounts of decrease in percent of body fat for eight participants in an exercise program over three weeks.

(a) Construct a 95% confidence interval for the population mean amount p of decrease in percent body fat over the three-week program.
(b) If you were to test H0: p = 15 versus H0: μ = 15 at or = 0.5, what would you conclude from your result in part (a)?
(c) Perform the hypothesis test indicated in part (b) and confirm your conclusion.

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1.8 10.6 -1.2 12.9 15.1 2.0 6.2 10.8