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). 15 23 27 11 12 21 17 16 18 8 16 7 12 8 24 21 8 17 10 28 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 95% 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 wider because the reliability factor will be larger for a 95% confidence interval than for a 98% confidence interval. O B. It will be narrower because the reliability factor will be smaller for a 95% confidence interval than for a 98% confidence interval. O C. It will be narrower because the reliability factor will be larger for a 95% confidence interval than for a 98% confidence interval. O D. It will be the same because the confidence interval is being calculated for the same data set