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) 17 10 29 21 15 12 20 25 15 15 13 22 22 B 20 13 a, Find a 90% confidence interval for the population mean The 50% 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 99% confidence interval for the population mean would be wider than, narrower than, or the same as that found in part ja) Choose the correct answer below, A. A will be wider because the reliability factor will be Larger for a:99%% confidence interval than for a 901. conddence interval 124B. W will be narrower because the rellabildy factor will be smaller for a 99% confidence interval than for a 90% confidence interval O C. A will be wider becamein the reliability factor will be sinaller for a 59% confidence interval than for a 90%% conddence inferval e same becmove the confidence interval is being calculated for the same data set