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 th program. Assume that the data are normally distributed. Complete parts (a) and (b). 13 8 18 16 24 17 8 27 20 12 15 7 14 8 24 21 19 10 26 ... a. Find a 95% confidence interval for the population mean. The 95% 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 fou in part (a). Choose the correct answer below. O A. It will be narrower because the reliability factor will be smaller for a 99% confidence interval than for a 95% confidence interval. O B. It will be wider because the reliability factor will be larger for a 99% confidence interval than for a 95% confidence interval. O C. It will be the same because the confidence interval is being calculated for the same data set. D. It will be narrower because the reliability factor will be larger for a 99% confidence interval than for a 95% confidence interval.

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