Chapter 11: Q.71 (page 658)
The mean and the median of the chi-square distribution are the same if .
The statement is false.
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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 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
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 manager of a sports club keeps information concerning the main sport in which members participate and their ages. To test whether there is a relationship between the age of a member and his or her choice of sport, members of the sports club are randomly selected. Conduct a test of independence.
| Sport | ||||
| racquetball | ||||
| tennis | ||||
| swimming |
Read the statement and decide whether it is true or false.
In a goodness of fit test, if the p-value is , in general, do not reject the null hypothesis
According to an avid aquarist, the average number of fish in a -gallon tank is , with a standard deviation of two. His friend, also an aquarist, does not believe that the standard deviation is two. She counts the number of fish in other -gallon tanks. Based on the results that follow, do you think that the standard deviation is different from two? Data:
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 |
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