In a random sample of 17 people, the mean commute time to work was 32.8 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 90% confidence interval for the population mean . What is the margin of error of ? Interpret the results

The confidence interval for the population mean is ( ) , ( )

.

(Round to one decimal place as needed.)

The margin of error of is ( )

(Round to one decimal place as needed.)

Interpret the results.

A.

If a large sample of people are taken approximately 90% of them will have commute times between the bounds of the confidence interval.

B.

It can be said that 90% of people have a commute time between the bounds of the confidence interval.

C.

With 90% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.

D.

With 90% confidence, it can be said that the commute time is between the bounds of the confidence interval.