A sample of patients was put on a special diet. After six months, the number of pounds lost was measured for each of them. The following MINITAB output presents a confidence interval for the population mean weight loss.

a. Fill in the blanks: We are _________________ confident that the population mean weight loss is between ___________________ and________________ .

b. Use the appropriate critical value along with the information in the computer output to construct a 99% confidence interval.

c. Find the sample size needed so that the 95% confidence interval will have a margin of error of 1.5.

d. Find the sample size needed so that the 99% confidence interval will have a margin of error of 1.5.

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The assumed sigma = 6.5000 Variable X N Mean 23 12.352 SE Mean 1.3553 95% CI (9.6956, 15.0084)