STATISTICS F/BUSINESS+ECONOMICS-TEXT
13th Edition
ISBN: 9781305881884
Author: Anderson
Publisher: CENGAGE L
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Chapter 14.2, Problem 10E
On March 31, 2009, Ford Motor Company’s shares were trading at a 26-year low of $2.63. Ford’s board of directors gave the CEO a grant of options and restricted shares with an estimated value of $16 million. On April 26, 2011, the price of a share of Ford had increased to $15.58, and the CEO’s grant was worth $202.8 million, a gain in value of $186.8 million. The following table shows the share price in 2009 and 2011 for 10 companies, the stock-option and share grants to the CEOs in late 2008 and 2009, and the value of the options and grants in 2011. Also shown are the percentage increases in the stock price and the percentage gains in the options values (The Wall Street Journal, April 27, 2011).
| Company | Stock Price 2009 ($) | Stock Price 2011 ($) | % Increase in Stock Price | Options and Grants Value 2009 ($ millions) | Options and Grants Value 2011 ($ millions) | % Gain in Options Value |
| Ford Motor | 2.63 | 15.58 | 492 | 16.0 | 202.8 | 1168 |
| Abercrombie & Fitch | 23.80 | 70.47 | 196 | 46.2 | 196.1 | 324 |
| Nabors Industries | 9.99 | 32.06 | 221 | 37.2 | 132.2 | 255 |
| Starbucks | 9.99 | 32.06 | 221 | 12.4 | 75.9 | 512 |
| Salesforce.com | 32.73 | 137.61 | 320 | 7.8 | 67.0 | 759 |
| Starwood Hotels | 12.70 | 60.28 | 375 | 5.8 | 57.1 | 884 |
| Caterpillar | 27.96 | 111.94 | 300 | 4.0 | 47.5 | 1088 |
| Oracle | 18.07 | 34.97 | 94 | 61.9 | 97.5 | 58 |
| Capital One | 12.24 | 54.61 | 346 | 6.0 | 40.6 | 577 |
| Dow Chemical | 8.43 | 39.97 | 374 | 5.0 | 38.8 | 676 |
- a. Develop a
scatter diagram for these data with the percentage increase in the stock price as the independent variable. - b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
- c. Develop the least squares estimated regression equation.
- d. Provide an interpretation for the slope of the estimated regression equation.
- e. Do the rewards for the CEO appear to be based on performance increases as measured by the stock price?
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9.2 Testing the Mean mu:
Problem 3
(1 point)
Test the claim that the population of sophomore college
students has a mean grade point average greater than 2.2.
Sample statistics include n = 71, x = 2.44, and s = 0.9.
Use a significance level of a = 0.01.
The test statistic is
The P-Value is between :
The final conclusion is
< P-value <
A. There is sufficient evidence to support the claim that
the mean grade point average is greater than 2.2.
○ B. There is not sufficient evidence to support the claim
that the mean grade point average is greater than 2.2.
Note: You can earn partial credit on this problem.
Note: You are in the Reduced Scoring Period. All work counts for
50% of the original.
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Chapter 14 Solutions
STATISTICS F/BUSINESS+ECONOMICS-TEXT
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