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21 ​people, the mean commute time to work was 34.7 minutes and the standard deviation was 7.1 minutes

In a random sample of 

style=”color:rgb(0,0,0);”>21 ​people, the mean commute time to work was 34.7 minutes and the standard deviation was 7.1 minutes. Assume the population is normally distributed and use a​ t-distribution to construct a 99​% confidence interval for the population mean μ. What is the margin of error of μ​? Interpret the results.

The confidence interval for the population mean μ?

​(Round to one decimal place as​ needed.)

The margin of error of μ?

.

Interpret the results.

A.

It can be said that 99​% of people have a commute time between the bounds of the confidence interval.

B.

If a large sample of people are taken approximately 99​% of them will have commute times between the bounds of the confidence interval.

C.

With 99​% ​confidence, it can be said that the commute time is between the bounds of the confidence interval.

D.

With 99​% ​confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.

 
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