In a random sample of twelve people, the mean driving distance to work was 19.5 miles and the standard deviation was 4.9 miles. Assume the population is normally distributed and use thet-distribution to find the margin of error and construct a 95% confidence interval for the population mean . Interpret the results.

Identify the margin of error.

square miles

miles

miles per hour

(Round to one decimal place asneeded.)

Construct a 95% confidence interval for the population mean.

,

(Round to one decimal place asneeded.)

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 notround.)

A.

It can be said that % of the population has a driving distance to work(in miles) that is between theinterval's endpoints.

B.

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

C.

With % confidence, it can be said that most driving distances to work(in miles) in the population are between theinterval's endpoints.

D.

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