An Introduction to Mathematical Statistics and Its Applications (6th Edition)
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
6th Edition
ISBN: 9780134114217
Author: Richard J. Larsen, Morris L. Marx
Publisher: PEARSON
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Chapter 12.2, Problem 3Q

An indicator of the value of a stock relative to its earnings is its price-earnings ratio: the average of a given year’s high and low selling prices divided by its annual earnings. The following table provides the price-earnings ratios for a sample of thirty stocks, ten each from the financial, industrial, and utility sectors of the New York Stock Exchange. Test at the 0.01 level that the true mean price-earnings ratios for the three market sectors are the same. Use the computing formulas on p. 588 to find SSTR and SSE. Use the ANOVA table format to summarize the computations; omit the P-value column.

Financial Industrial Utility
7.1 26.2 14.0
9.9 12.4 15.5
8.8 15.2 11.9
8.8 28.6 10.9
20.6 10.3 14.3
17.7 16.7 10.8
15.2 19.7 16.0
6.6 24.8 11.3
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30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y isy      | 1       2      4       8      16p(y) | .05   .10   .35   .40   .10 a.Compute E(Y).b. Suppose an individual with Y violations incurs a surcharge of $100Y^2. Calculate the expected amount of the surcharge.
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