A random sample of 49 lunch customers was taken at a restaurant. The average amount of time these customers stayed in the restaurant was 45 minutes with a standard deviation of 14 minutes. a. Compute the standard error of the mean. b. With a .95 probability, what statement can be made about the size of the margin of error? c. Construct a 95% confidence interval for the true average amount of time customers spent in the restaurant. d. With a .95 probability, how large of a sample would have to be taken to provide a margin of error of 2.5 minutes or less?
A random sample of 49 lunch customers was taken at a restaurant. The average amount of time these customers stayed in the restaurant was 45 minutes with a standard deviation of 14 minutes. a. Compute the standard error of the mean. b. With a .95 probability, what statement can be made about the size of the margin of error? c. Construct a 95% confidence interval for the true average amount of time customers spent in the restaurant. d. With a .95 probability, how large of a sample would have to be taken to provide a margin of error of 2.5 minutes or less?
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 49 lunch customers was taken at a restaurant. The average amount of time these customers stayed in the restaurant was 45 minutes with a standard deviation of 14 minutes.
|
a. |
Compute the standard error of the mean. |
|
b. |
With a .95 probability, what statement can be made about the size of the margin of error? |
|
c. |
Construct a 95% confidence interval for the true average amount of time customers spent in the restaurant. |
|
d. |
With a .95 probability, how large of a sample would have to be taken to provide a margin of error of 2.5 minutes or less? |
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