Stats: Modeling the World Nasta Edition Grades 9-12
Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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Chapter 23, Problem 12E
To determine

To explain why the analysis didn’t find the confidence interval useful and also explain what went wrong.

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Explanation of Solution

It is given in the question that a credit card company takes a random sample of 100 card holders to see how much they charged on their card last month. The histogram for the same is given. Also, a computer program found that the resulting 95% confidence interval for the mean amount spent in March 2005 is ($28366.84,$90691.49) . Thus, in the histogram we note that the sample contains one very large outlier, because one of the bars of the histogram lies very far from the rest of the bars.The confidence interval is then heavily influenced by this one outlier and thus most likely not accurate for the true population mean.

Moreover, we note that the confidence interval contains almost all observations with the exception of the outlier and thus the confidence interval is not a good prediction for the true population mean.

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