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 61 ​dates, the mean record high daily temperature in a certain city has a mean of 84.96°F. Assume the population standard deviation is 13.93°F.       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​ 95% confidence interval   The​ 90% confidence interval

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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
61
​dates, the mean record high daily temperature in a certain city has a mean of
84.96°F.
Assume the population standard deviation is
13.93°F.
 
 
 

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​ 95% confidence interval
 
The​ 90% confidence interval
Part 4
Interpret the results.
 
 
A.
You can be certain that the mean record high temperature was within the​ 90% confidence interval for approximately
55
of the
61
​days, and was within the​ 95% confidence interval for approximately
58
of the
61
days.
 
B.
You can be certain that the population mean record high temperature 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​ 90% confident that the population mean record high temperature is between the bounds of the​ 90% confidence​ interval, and​ 95% confident for the​ 95% interval.
 
D.
You can be​ 90% confident that the population mean record high temperature is outside the bounds of the​ 90% confidence​ interval, and​ 95% confident for the​ 95% interval.
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