Chapter 11: Q.27 (page 656)
The degree of freedom.
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A sample of students is taken. Of the students surveyed,were music students, while were not. Ninetyseven were on the honor roll, while were not. If we assume being a music student and being on the honor roll are independent events, what is the expected number of music students who are also on the honor roll?
The Insurance Institute for Highway Safety collects safety information about all types of cars every year, and publishes a report of Top Safety Picks among all cars, makes, and models. Table 11.58 presents the number of Top Safety Picks in six-car categories for the two years 2009 and 2013. Analyze the table data to conclude whether the distribution of cars that earned the Top Safety Picks safety award has remained the same between 2009 and 2013. Derive your results at the 5%
significance level.
A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 191 randomly selected fish caught in Green Valley Lake, 105 were rainbow trout, 27 were other trout, 35 were bass, and 24 were catfish. Of the 293 randomly selected fish caught in Echo Lake, 115 were rainbow trout, 58 were other trout, 67 were bass, and 53 were catfish. Perform a test for homogeneity at a 5% level of significance.
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 marital status distribution of the U.S. male population, ages and older, is as shown in Table 11.35.
| Martial Status | Percent | Frequency |
| never married | 31.3 | |
| married | 56.1 | |
| widowed | 2.5 | |
| divorced /separated | 10.1 |
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