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? 269 204 178 162 161 157 157 157 155 152 What is the confidence interval estimate of the population mean μ? $nothing million<μ<$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 belowand, if necessary, fill in the answer box(es) to complete your choice. A. We are confident that 90% 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 90% 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. Yes, because the pattern of the points in the normal quantile plot is reasonably close to a straight line. 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. No, because the points lie reasonable close to a straight line, but there is a systematic pattern that is not a straight line pattern.

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Author:Amos Gilat

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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?

269

204

178

162

161

157

155

152

What is the confidence interval estimate of the population mean

μ?

$nothing

million<μ<$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 belowand, if necessary, fill in the answer box(es) to complete your choice.

We are confident that

90%

of all celebrities have a net worth between

$nothing

million and

$nothing

million.

(Round to one decimal place as needed.)

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

We are

90%

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?

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

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.

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.

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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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