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Chapter 11: Q. 97 (page 665)
Read the statement and decide whether it is true or false.
In a test of independence, the expected number is equal to the row total multiplied by the column total divided by the total surveyed.
The statement is true.
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Use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places.
A recent debate about where in the United States skiers believe the skiing is best prompted the following survey. Test to see if the best ski area is independent of the level of the skier.
| U.S. Ski Area | Beginner | Intermediate | Advanced |
| Tahoe | |||
| Utah | |||
| Colorado |
Table
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.
You want to buy a specific computer. A sales representative of the manufacturer claims that retail stores sell this computer at an average price of with a very narrow standard deviation of . You find a website that has a price comparison for the same computer at a series of stores as follows: . Can you argue that pricing has a larger standard deviation than claimed by the manufacturer? Use the significance level. As a potential buyer, what would be the practical conclusion from your analysis?
Teachers want to know which night each week their students are doing most of their homework. Most teachers think that students do homework equally throughout the week. Suppose a random sample of 56 students were asked on which night of the week they did the most homework. The results were distributed as in Table 11.8.
From the population of students, do the nights for the highest number of students doing the majority of their homework occur with equal frequencies during a week? What type of hypothesis test should you use?
The City of South Lake Tahoe, CA, has an Asian population of people, out of a total population of . Suppose that a survey of self-reported Asians in the Manhattan, NY, area yielded the data in Table 11.38. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area.
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