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Chapter 13: Q.3 (page 764)
There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. What are they?
Write a third assumption
The third assumption for one-way ANOVA is that the populations are assumed to have equal standard deviations (or variances).
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Two students are interested in whether or not there is variation in their test scores for math class. There are 15 total math tests they have taken so far. The first student鈥檚 grades have a standard deviation of 38.1. The second student鈥檚 grades have a standard deviation of 22.5. The second student thinks his scores are more consistent.
What is the p-value?
There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test.
State the null hypothesis for a one-way ANOVA test if there are four groups.
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?
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鈥檚 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 New York Choral Society divides male singers up into four categories from highest voices to lowest: Tenor1, Tenor2, Bass1, Bass2. In the table are heights of the men in the Tenor1 and Bass2 groups. One suspects that taller men will have lower voices, and that the variance of height may go up with the lower voices as well. Do we have good evidence that the variance of the heights of singers in each of these two groups (Tenor1 and Bass2) are different?
| Tenor1 | Bass2 | Tenor1 | Bass2 | Tenor1 | Bass2 |
| 69 | 72 | 67 | 72 | 68 | 67 |
| 72 | 75 | 70 | 74 | 67 | 70 |
| 71 | 67 | 65 | 70 | 64 | 70 |
| 66 | 75 | 72 | 66 | 69 | |
| 76 | 74 | 70 | 68 | 72 | |
| 74 | 72 | 68 | 75 | 71 | |
| 71 | 72 | 64 | 68 | 74 | |
| 66 | 74 | 73 | 70 | 75 | |
| 68 | 72 | 66 | 72 |
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