In a random sample of twelve people, the mean driving distance to work was 19.9 miles and the standard deviation was 4.6 miles.

Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean mu. Interpret the results.

Question

Identify the margin of error.

….. ? (miles, miles per hour, square miles)

(Round to one decimal place as needed)


Construct a 90% confidence interval for the population mean.

(…. ?, …. ?)

(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 …………? % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.


B.
With ………..? % 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 ……….?% of the population has a driving distance to work (in miles) that is between the interval's endpoints.

D.
…..……?% of all random samples of twelve people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints.