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 ​$121.84. Assume the

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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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
​$121.84.
Assume the population standard deviation is
​$10.38.
 
Interpret the results.
 
 
A.
You can be​ 90% confident that the population mean price of the stock is outside the bounds of the​ 90% confidence​ interval, and​ 95% confident for the​ 95% interval.
 
B.
You can be certain that the population mean price of the stock is either between the lower bounds of the​ 90% and​ 95% confidence intervals or the upper bounds of the​ 90% and​ 95% confidence intervals.
 
C.
You can be certain that the closing price of the stock was within the​ 90% confidence interval for approximately
42
of the
47
​days, and was within the​ 95% confidence interval for approximately
45
of the
47
days.
 
D.
You can be​ 90% confident that the population mean price of the stock is between the bounds of the​ 90% confidence​ interval, and​ 95% confident for the​ 95% interval.
 
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