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 44 business​ days, the mean closing price of a certain stock was ​$117.38. Assume the population standard deviation is ​$11.18.       Question content area bottom Part 1 The​ 90% confidence interval is ​(enter your response here​,enter your response here​). ​(Round to two decimal places as​ needed.) Part 2 The​ 95% confidence interval is ​(enter your response here​,enter your response here​). ​(Round to two decimal places as​ needed.) Part 3 Which interval is​ wider? Choose the correct answer below.     The​ 90% confidence interval   The​ 95% confidence interval Part 4 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 40 of the 44 ​days, and was within the​ 95% confidence interval for approximately 42 of the 44 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.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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
44
business​ days, the mean closing price of a certain stock was
​$117.38.
Assume the population standard deviation is
​$11.18.
 
 
 

Question content area bottom

Part 1
The​ 90% confidence interval is
​(enter your response here​,enter your response here​).
​(Round to two decimal places as​ needed.)
Part 2
The​ 95% confidence interval is
​(enter your response here​,enter your response here​).
​(Round to two decimal places as​ needed.)
Part 3
Which interval is​ wider? Choose the correct answer below.
 
 
The​ 90% confidence interval
 
The​ 95% confidence interval
Part 4
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
40
of the
44
​days, and was within the​ 95% confidence interval for approximately
42
of the
44
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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