Question

Listed below are the amounts of net worth​ (in millions of​ dollars) of the ten wealthiest celebrities in a country. Construct a

9999​%

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?

263263

196196

192192

175175

167167

150150

145145

145145

140140

140140

What is the confidence interval estimate of the population mean

muμ​?

​$nothing

millionless than<muμless than<​$nothing

million

​(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 confident that

9999​%

of all celebrities have a net worth between

​$nothing

million and

​$nothing

million.

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

B.

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

C.We are

9999​%

confident that the interval from

​$nothing

million to

​$nothing

million actually contains the true mean net worth of all celebrities.

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

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.

​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.

C.

​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.

D.

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

Answer 1

1.

Confidence interval:

[149, 193.6]

2.

C.We are 99​% confident that the interval from149 million to 193.6 million actually contains the true mean net worth of all celebrities.

3.

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

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