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Chapter 13: Q. 36 (page 766)
A video game developer is testing a new game on three different groups. Each group represents a different target market for the game. The developer collects scores from a random sample from each group. The results are shown in the Table.
What are the and ?
The values of andare and.
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Two coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for commutes. The first worker’s times have a variance of . These coworkers' times have a variance of . The first worker thinks that he is more consistent with his commute times. Test the claim at the % level. Assume that commute times are normally distributed. What is s in this problem?
The data shown is the recorded body temperatures of subjects as estimated from available histograms. Traditionally we are taught that the normal human body temperature is F. This is not quite correct for everyone. Are the mean temperatures among the four groups different? Calculate confidence intervals for the mean body temperature in each group and comment about the confidence intervals.
Two coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for commutes. The first worker’s times have a variance of . These coworkers' times have a variance of . The first worker thinks that he is more consistent with his commute times. Test the claim at the % level. Assume that commute times are normally distributed. What is n?
Another fourth grader also grew bean plants, but this time in a jelly-like mass. The heights were (in inches) . Do a one-way ANOVA test on the four groups. Are the heights of the bean plants different? Use the same method as shown in Example 13.4.
55. At the significance level, do we reject the null hypothesis?
Use the following information to answer the next three exercises. Two cyclists are comparing the variances of their overall paces going uphill. Each cyclist records his or her speeds going up hills. The first cyclist has a variance of and the second cyclist has a variance of . The cyclists want to see if their variances are the same or different. Assume that commute times are normally distributed.
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