Question

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?

265

192

180

166

158

157

148

148

148

143

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

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

B.We are 90​% 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.)

C.We are confident that 90​% of all celebrities have a net worth between ______million and _______million. ​(Round to one decimal place as​ needed.)

.

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

A. ​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.

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

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

Answer 1

The given data is:

Data
265
192
180
166
158
157
148
148
148
143

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

(149.2,191.8)

We are 99% confident that the interval from 149.2 million to 191.8 million actually contains the true mean net worth of all celebrities

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