Question

Listed below are the amounts of net worth​ (in millions of​ dollars) of the ten wealthiest celebrities in a country. Construct a 99​% confidence interval. What does the result tell us about the population of all​ celebrities? Do the data appear to be from a normally distributed population as​ required?

256 216 196 174 156 150 145 145 145 140

What is the confidence interval estimate of the population mean μ​?

​$_____ million < μ < $_____

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

What does the result tell us about the population of all​ celebrities? Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) to complete your choice.

A. We are 99% confident that the interval from ​$_____ million to ​$_____ million actually contains the true mean net worth of all celebrities. ​(Round to one decimal place as​ needed.)

B. We are confident that 99​% of all celebrities have a net worth between ​$_____ million and ​$______ million.​(Round to one decimal place as​ needed.)

C. Because the ten wealthiest celebrities are not a representative​ sample, this​ doesn't provide any information about the population of all celebrities.

Do the data appear to be from a normally distributed population as​ required?

A. ​No, because the points lie reasonable close to a straight​ line, but there is a systematic pattern that is not a straight line pattern.

B. Yes, but the points in the normal quantile plot do not lie reasonably close to a straight line or show a systematic pattern that is a straight line pattern.

C. Yes, because the pattern of the points in the normal quantile plot is reasonably close to a straight line.

D. ​No, but the points in the normal quantile plot lie reasonably close to a straight line and show some systematic pattern that is a straight line pattern.

Answer 1

## R software output is attached below