K A clinic offers a weight-los program The tebe below gives the amounts of weight loss, in pounds, for a normally distributed Complete parts (a) and (b) 13 140 10 16 15 15 # 12 15 a Find a 99% confidence interval for the population mean The 90% confidence interval is from a lower limit of (Round to two decimal places as needed) 12 10 25 O b. Without doing the calculations, explain whether a 90% confidence interval for the population mean would be wider than, narrower than answer below OA. It will be narrower because the reliability factor will be smaller for a 90% confidence interval than for a 99% confidence interval OB. It will be wider because the reliability factor will be smaller for a 90% confidence interval than for a 99% confidence interval OC. It will be the same because the confidence interval is being calculated for the same data set OD. It will be wider because the reliability factor will be larger for a 90% confidence interval than for a 99% confidence interval Assume that the as that found in part (a). Choose the correct

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A clinic offers a weight-los 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)
20
16 15 10 13 B 24
# 148 10 10
15
25
15
10
8
12 25
a Find a 99% confidence interval for the population mean
The 99% confidence interval is from a lower limit of to an upper limit of
(Round to two decimat 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
OA. It will be narrower because the reliability factor will be smaller for a 90% confidence interval than for a 99% confidence interval
OB. It will be wider because the reliability factor will be smaller for a 90% confidence interval than for a 99% confidence interval.
OC. It will be the same because the confidence interval is being calculated for the same data set
OD. It will be wider because the reliability factor will be larger for a 90% confidence interval than for a 99% confidence interval
Transcribed Image Text:A clinic offers a weight-los 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) 20 16 15 10 13 B 24 # 148 10 10 15 25 15 10 8 12 25 a Find a 99% confidence interval for the population mean The 99% confidence interval is from a lower limit of to an upper limit of (Round to two decimat 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 OA. It will be narrower because the reliability factor will be smaller for a 90% confidence interval than for a 99% confidence interval OB. It will be wider because the reliability factor will be smaller for a 90% confidence interval than for a 99% confidence interval. OC. It will be the same because the confidence interval is being calculated for the same data set OD. It will be wider because the reliability factor will be larger for a 90% confidence interval than for a 99% confidence interval
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