A random sample of 24 observations is used to estimate the population mean. The sample mean and the sample standard deviation are calculated as 104.6 and 28.8, respectively. Assume that the population is normally distributed. (You may find it useful to reference the t table.) a. Construct the 90% confidence interval for the population mean. (Round final answers to 2 decimal places.) b. Construct the 99% confidence interval for the population mean. (Round final answers to 2 decimal places.) c. Use your answers to discuss the impact of the confidence level on the width of the interval. multiple choice As the confidence level increases, the interval becomes narrower. As the confidence level increases, the interval becomes wider.
A random sample of 24 observations is used to estimate the population mean. The sample mean and the sample standard deviation are calculated as 104.6 and 28.8, respectively. Assume that the population is normally distributed. (You may find it useful to reference the t table.) a. Construct the 90% confidence interval for the population mean. (Round final answers to 2 decimal places.) b. Construct the 99% confidence interval for the population mean. (Round final answers to 2 decimal places.) c. Use your answers to discuss the impact of the confidence level on the width of the interval. multiple choice As the confidence level increases, the interval becomes narrower. As the confidence level increases, the interval becomes wider.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
A random sample of 24 observations is used to estimate the population
a. Construct the 90% confidence interval for the population mean. (Round final answers to 2 decimal places.)
b. Construct the 99% confidence interval for the population mean. (Round final answers to 2 decimal places.)
c. Use your answers to discuss the impact of the confidence level on the width of the interval.
multiple choice
-
As the confidence level increases, the interval becomes narrower.
-
As the confidence level increases, the interval becomes wider.
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