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Chapter 13: Q.43 (page 766)
Name one assumption that must be true.
The first assumption of -test of two variances which is must be true is 'the population from which the two samples are drown are normally distributed'.
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60. Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses.
| Northeast | South | West | Central | East | |
| 16.3 | 16.9 | 16.4 | 16.2 | 17.1 | |
| 16.1 | 16.5 | 16.5 | 16.6 | 17.2 | |
| 16.4 | 16.4 | 16.6 | 16.5 | 16.6 | |
| 16.5 | 16.2 | 16.1 | 16.4 | 16.8 | |
| ------------------- | ------------------- | ------------------- | ------------------- | ------------------- | |
| ------------------- | ------------------- | ------------------- | ------------------- | ------------------- |
State the hypotheses.
13.2 The F Distribution and the F-Ratio
Use the following information to answer the next three exercises. Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses.
| Northeast | South | West | Central | East | |
| 16.3 | 16.9 | 16.4 | 16.2 | 17.1 | |
| 16.1 | 16.5 | 16.5 | 16.6 | 17.2 | |
| 16.4 | 16.4 | 16.6 | 16.5 | 16.6 | |
| 16.5 | 16.2 | 16.1 | 16.4 | 16.8 | |
| -------------------- | -------------------- | ------------------- | ------------------- | ----------------- | |
| -------------------- | -------------------- | ------------------- | ------------------- | ----------------- |
: At least any two of the group means are not equal.
Judging by the statistic, do you think it is likely or unlikely that you will reject the null hypothesis?
There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. What are they?
Write a fourth assumption.
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 statistic?
Are the mean numbers of daily visitors to a ski resort the same for the three types of snow conditions? Suppose that Table 13.27 shows the results of a study.
Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of .
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