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Chapter 13: Q.14 (page 764)
What is the Mean Square Error?
The Mean square Error is .
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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. Is the claim accurate?
Two students are interested in whether or not there is variation in their test scores for math class. There are total math tests they have taken so far. The first student’s grades have a standard deviation of .The
second students' grades have a standard deviation of . The second student thinks his scores are more consistent.
State the null and alternative hypotheses.
The American League and the National League of Major League Baseball are each divided into three divisions: East, Central, and West. Many years, fans talk about some divisions being stronger (having better teams) than other divisions. This may have consequences for the postseason. For instance, in Tampa Bay won games and did not play in the postseason, while Detroit won only and did play in the postseason. This may have been an oddity, but is there good evidence that in the season, the American League divisions were significantly different in overall records? Use the following data to test whether the mean number of wins per team in the three American League divisions were the same or not. Note that the data are not balanced, as two divisions had five teams, while one had only four
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 is-value?
Thirty men in college were taught a method of finger tapping. They were randomly assigned to three groups of ten, with each receiving one of three doses of caffeine: , , . This is approximately the amount in no, one, or two cups of coffee. Two hours after ingesting the caffeine, the men had the rate of finger tapping per minute recorded. The experiment was double blind, so neither the recorders nor the students knew which group they were in. Does caffeine affect the rate of tapping, and if so how?
Here are the data:
| | 200 mg | ||||
| | |||||
| | |||||
| 244 | |||||
| |
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