Chapter 13: Q.31 (page 765)
What is the -value?
Short Answer
The -value is .
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Chapter 13: Q.31 (page 765)
What is the -value?
The -value is .
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Are the variances for incomes on the East Coast and the West Coast the same? Suppose that Table shows the results of a study. Income is shown in thousands of dollars. Assume that both distributions are normal. Use a level of significance of .
| East | West |
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.
MRSA, or Staphylococcus aureus, can cause a serious bacterial infections in hospital patients. Table 13.6 shows various colony counts from different patients who may or may not have MRSA. The data from the table is plotted in Figure 13.5.
| Conc | Conc | Conc | Conc | Conc |
| 9 | 16 | 22 | 30 | 27 |
| 66 | 93 | 147 | 199 | 168 |
| 98 | 82 | 120 | 148 | 132 |
Plot of the data for the different concentrations:

Test whether the mean number of colonies are the same or are different. Construct the ANOVA table (by hand or by using a calculator), find the p-value, and state your conclusion. Use asignificance level.
What are the Sum of Squares and Mean Squares Errors?
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?
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