In a random sample of seven ​people, the mean driving distance to work was 25.4 miles and the standard deviation was 5.6 miles. Assuming the population is normally distributed and using the​ t-distribution, a 95​% confidence interval for the population mean μ is (20.2, 30.6) ​(and the margin of error is 5.2​). Through​ research, it has been found that the population standard deviation of driving distances to work is 4.8. Using the standard normal distribution with the appropriate calculations for a standard deviation that is​ known, find the margin of error and construct a 95​% confidence interval for the population mean μ. Interpret and compare the results.         Question content area bottom Part 1 Identify the margin of error.   enter your response here   ▼   miles per hour square miles miles ​(Round to one decimal place

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In a random sample of
seven
​people, the mean driving distance to work was
25.4
miles and the standard deviation was
5.6
miles. Assuming the population is normally distributed and using the​ t-distribution, a
95​%
confidence interval for the population mean
μ
is
(20.2, 30.6)
​(and the margin of error is
5.2​).
Through​ research, it has been found that the population standard deviation of driving distances to work is
4.8.
Using the standard normal distribution with the appropriate calculations for a standard deviation that is​ known, find the margin of error and construct a
95​%
confidence interval for the population mean
μ.
Interpret and compare the results.
 
 
 
 

Question content area bottom

Part 1
Identify the margin of error.
 
enter your response here
 
 
miles per hour
square miles
miles
​(Round to one decimal place as​ needed.)
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