You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 47 business days, the mean closing price of a certain stock was $111.62. Assume the population standard deviation is $11.42. The 90% confidence interval is ( 108.88, 114.36). (Round to two decimal places as needed.). The 95% confidence interval is (). (Round to two decimal places as needed.).

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 3GP
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You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence
intervals.
From a random sample of 47 business days, the mean closing price of a certain stock was $111.62. Assume the population standard deviation is $11.42.
The 90% confidence interval is ( 108.88, 114.36 ).
(Round to two decimal places as needed.)
The 95% confidence interval is
(Round to two decimal places as needed.)
Transcribed Image Text:You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 47 business days, the mean closing price of a certain stock was $111.62. Assume the population standard deviation is $11.42. The 90% confidence interval is ( 108.88, 114.36 ). (Round to two decimal places as needed.) The 95% confidence interval is (Round to two decimal places as needed.)
Use the confidence interval to find the margin of error and the sample mean.
(0.072,0.210)
The margin of error is
-
Transcribed Image Text:Use the confidence interval to find the margin of error and the sample mean. (0.072,0.210) The margin of error is -
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