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Question 1 A clinic offers a weight reduction program.

Question 1

A clinic offers a weight reduction program. A review of its records found the following weight losses, in pounds, for a random sample of ten of its patients at the conclusion of the program.

18.2

25.9

6.3

11.8

15.4

20.3

16.8

19.5

12.3

17.2

Assume the population distribution is normal. Use Excel to compute necessary statistics and probabilities.

(a) Find a 99% confidence interval for the population mean weight-loss.

(b) Using the result in (a), test at the 1% significance level the null hypothesis that the population mean equals 20 against the two-sided alternative.

(c) Test the null hypothesis that the population mean weight-loss equals 20 pounds against the one-sided alternative hypothesis that the population mean weight-loss is lower than 20 pounds at the 5% level.

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