A market researcher collects a simple random sample of customers from a population of over a million customers that use a home improvement website. After analyzing the sample, she states that she has 95% confidence that the mean time customers spent on that website per day is between 20 and 55 minutes. Suppose that the population mean time customers spent on that website is 19 minutes a day. Does this value of the population mean help to show that the confidence interval estimate is correct? Explain

Choose the correct answer below.

A.

Yes,

because the population mean,

,

is

included within the confidence interval estimate.

B.

Yes, because the population mean,

is within 95% of the midpoint of the confidence interval estimate.

C.

No, because the population mean,

,

is not the midpoint of the confidence interval estimate.

D.

No,

because the population mean,

,

isnot

included within the confidence interval estimate.

E.

Yes,becausethepopulationmean,,isrelativelycloseto

the confidence interval estimate.