n a random sample of sixsix ​people, the mean driving distance to work was 24.524.5 miles and the standard deviation was 4.94.9 miles. Assuming the population is normally distributed and using the​ t-distribution, a 9595​% confidence interval for the population mean muμ is left parenthesis 19.4 comma 29.6 right parenthesis(19.4, 29.6) ​(and the margin of error is 5.15.1​). Through​ research, it has been found that the population standard deviation of driving distances to work is 5.85.8. Using the standard normal distribution with the appropriate calculations for a standard deviation that is​ known, find the margin of error and construct a 9595​% confidence interval for the population mean muμ. Interpret and compare the results. Identify the margin of error.   2.62.6 miles miles per hour miles square miles ​(Round to one decimal place as​ needed.) Construct a 9595​% confidence interval for the population mean.   left parenthesis nothing comma nothing right parenthesis14.3,24.5 ​(Round to one decimal place as​ needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. ​(Type an integer or a decimal. Do not​ round.)   A. With 9595​% ​confidence, it can be said that the population mean driving distance to work ​ (in miles) is between the​ interval's endpoints.   B. With nothing​% ​confidence, it can be said that most driving distances to work​ (in miles) in the population are between the​ interval's endpoints.   C. It can be said that nothing​% of the population has a driving distance to work​ (in miles) that is between the​ interval's endpoints.   D. nothing​% of all random samples of sixsix people from the population will have a mean driving distance to work​ (in miles) that is between the​ interval's endpoints. Compare these results to the results that used the​ t-distribution.   The new confidence interval is narrower than narrower than as wide as wider than the confidence interval that used the​ t-distribution and has a lesser the same a greater a lesser center.

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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n a random sample of
sixsix
​people, the mean driving distance to work was
24.524.5
miles and the standard deviation was
4.94.9
miles. Assuming the population is normally distributed and using the​ t-distribution, a
9595​%
confidence interval for the population mean
muμ
is
left parenthesis 19.4 comma 29.6 right parenthesis(19.4, 29.6)
​(and the margin of error is
5.15.1​).
Through​ research, it has been found that the population standard deviation of driving distances to work is
5.85.8.
Using the standard normal distribution with the appropriate calculations for a standard deviation that is​ known, find the margin of error and construct a
9595​%
confidence interval for the population mean
muμ.
Interpret and compare the results.
Identify the margin of error.
 
2.62.6
miles
miles per hour
miles
square miles
​(Round to one decimal place as​ needed.)
Construct a
9595​%
confidence interval for the population mean.
 
left parenthesis nothing comma nothing right parenthesis14.3,24.5
​(Round to one decimal place as​ needed.)
Interpret the results. Select the correct choice below and fill in the answer box to complete your choice.
​(Type an integer or a decimal. Do not​ round.)
 
A.
With
9595​%
​confidence, it can be said that the population mean driving distance to work ​ (in miles) is between the​ interval's endpoints.
 
B.
With
nothing​%
​confidence, it can be said that most driving distances to work​ (in miles) in the population are between the​ interval's endpoints.
 
C.
It can be said that
nothing​%
of the population has a driving distance to work​ (in miles) that is between the​ interval's endpoints.
 
D.
nothing​%
of all random samples of
sixsix
people from the population will have a mean driving distance to work​ (in miles) that is between the​ interval's endpoints.
Compare these results to the results that used the​ t-distribution.
 
The new confidence interval is
narrower than
narrower than
as wide as
wider than
the confidence interval that used the​ t-distribution and has
a lesser
the same
a greater
a lesser
center.
 
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