Answer the following.

A clinic offers a weight-loss program. The table below gives the amounts of weight loss, in pounds, for a random sample of 20 of its clients at the conclusion of the program. Assume that the data are normally distributed. Complete parts (a) and (b). 8 20 5 13 12 17 10 24 19 16 10 8 14 8 17 22 10 15 14 23 a. Find a 98% confidence interval for the population mean. The 98% confidence interval is from a lower limit of to an upper limit of (Round to two decimal places as needed.) b. Without doing the calculations, explain whether a 90% confidence interval for the population mean would be wider than, narrower than, or the same as that found in part (a). Choose the correct answer below. O A. It will be narrower because the reliability factor will be larger for a 90% confidence interval than for a 98% confidence interval. O B. It will be wider because the reliability factor will be larger for a 90% confidence interval than for a 98% confidence interval. O C. It will be the same because the confidence interval is being calculated for the same data set. O D. It will be narrower because the reliability factor will be smaller for a 90% confidence interval than for a 98% confidence interval