Question

In: Statistics and Probability

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

Listed below are the amounts of net worth​ (in millions of​ dollars) of the ten wealthiest celebrities in a country. Construct a 90​%

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?

268

210

179

167

164

157

145

145

145

145

What is the confidence interval estimate of the population mean _____< μ​? <_______ 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 are90​% confident that the interval from ________ million to _______ million  million actually contains the true mean net worth of all celebrities.

​(Round to one decimal place as  needed.)

B.We are confident that 90​% of all celebrities have a net worth between ​$______ and ​$____________ 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. ​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.

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

Solutions

Expert Solution

Construct a 90​%

confidence interval.

What is the confidence interval estimate of the population mean 149.7< μ​? <195.3 million.

What does the result tell us about the population of all​ celebrities?

A.We are90​% confident that the interval from 149.7 million to 195.3 million  million actually contains the true mean net worth of all celebrities.

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

A. ​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


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