Chapter 13: Q.17 (page 765)
What is the for the numerator?
Short Answer
The value of degree of freedom of numerator is .
Chapter 13: Q.17 (page 765)
What is the for the numerator?
The value of degree of freedom of numerator is .
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Get started for free64. Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of , test the hypothesis that the three formulas produce the same mean weight gain
Linda's rats | Tuan's rats | Javier's rats |
43.5 | 47.0 | 51.2 |
39.4 | 40.5 | 40.9 |
41.3 | 38.9 | 37.9 |
46.0 | 46.3 | 45.0 |
38.2 | 44.2 | 48.6 |
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?
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 | ||||
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244 | |||||
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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.
What is the Sum of Squares Error?
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