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Chapter 11: Q.24 (page 655)
The owner of a baseball team is interested in the relationship between player salaries and team winning percentage. He takes a random sample of players from different organizations.
The given statement is a test of independence.
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Suppose an airline claims that its flights are consistently on time with an average delay of at most minutes. It claims that the average delay is so consistent that the variance is no more than minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next flights. The average delay for those flights is minutes with a standard deviation of minutes.
If an additional test were done on the claim of the average delay, which distribution would you use?
Conduct a goodness-of-fit test to determine if the actual college majors of graduating females fit the distribution of their expected majors.
| Major | Women -Expected Major | Wome -Actual Major |
| Arts & Humaities | 14.0% | 670 |
| Biological Sciences | 8.4% | 410 |
| Business | 13.1% | 685 |
| Education | 13.0% | 650 |
| Engineering | 2.6% | 145 |
| Physical Sciences | 2.6% | 125 |
| Professional | 18.9% | 975 |
| Social Sciences | 13.0% | 605 |
| Technical | 0.4% | 15 |
| Other | 5.8% | 300 |
| Undecided | 8.0% | 420 |
In general, if the observed values and expected values of a goodness-of-fit test are not close together, then the test statistic can get very large and on a graph will be way out in the right tail.
Airline companies are interested in the consistency of the number of babies on each flight, so that they have adequate safety equipment. They are also interested in the variation of the number of babies. Suppose that an airline executive believes the average number of babies on flights is six with a variance of nine at most. The airline conducts a survey. The results of the flights surveyed give a sample average of with a sample standard deviation of . Conduct a hypothesis test of the airline executive鈥檚 belief.
A major food manufacturer is concerned that the sales for its skinny french fries have been decreasing. As a part of a feasibility study, the company conducts research into the types of fries sold across the country to determine if the type of fries sold is independent of the area of the country. The results of the study are shown in Table 11.48. Conduct a test of independence.
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