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Chapter 11: Q.37 (page 656)
test statistics ------
The value of test statistics is.
Given data
To find the test statistics:
Test StatistIcs
or
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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?
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 College students may be interested in whether or not their majors have any effect on starting-salaries after graduation. Suppose that recent graduates were surveyed as to their majors in college and their starting salaries after graduation. Table shows the data. Conduct a test of independence.
| Major | |||
| English | |||
| Engineering | |||
| Nursing | |||
| Business | |||
| Psychology |
Table
The number of births per woman in China is down from in . This fertility rate has been attributed to the law passed in restricting births to one per woman. Suppose that a group of students studied whether or not the standard deviation of births per woman was greater than . They asked women across China the number of births they had had. The results are shown in Table. Does the students’ survey indicate that the standard deviation is greater than ?
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’s belief.
Determine the appropriate test to be used in the next three exercises.
An economist is deriving a model to predict outcomes on the stock market. He creates a list of expected points on the stock market index for the next two weeks. At the close of each day's trading, he records the actual points on the index. He wants to see how well his model matched what actually happened.
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