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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Transit Railroads is interested in the relationship between travel distance and the ticket class purchased. A random sample of passengers is taken. Table 11.31 shows the results. The railroad wants to know if a passengerโs choice in ticket class is independent of the distance they must travel.
State the hypothesis:
:
:
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 |
Suppose an airline claims that its flights are consistently on time with an average delay of at most 15 minutes. It claims that the average delay is so consistent that the variance is no more than 150 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes.
How did you know to test the variance instead of the mean?
What is the test statistic?
Determine the appropriate test to be used in the next three exercises.
An archeologist is calculating the distribution of the frequency of the number of artifacts she finds in a dig site. Based on
previous digs, the archeologist creates an expected distribution broken down by grid sections in the dig site. Once the site has been fully excavated, she compares the actual number of artifacts found in each grid section to see if her expectation was accurate.
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