Chapter 13: Q.8 (page 764)
There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test.
When do you use an ANOVA test?
Short Answer
The ANOVA test is used to compare more than two groups
Chapter 13: Q.8 (page 764)
There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test.
When do you use an ANOVA test?
The ANOVA test is used to compare more than two groups
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Get started for freeThree different traffic routes are tested for mean driving time. The entries in the Table 13.18 are the driving times in minutes on the three different routes.
Route 1 | Route 2 | Route 3 |
30 | 27 | 16 |
32 | 29 | 41 |
27 | 28 | 22 |
35 | 36 | 31 |
Stateand the statistic.
A grassroots group opposed to a proposed increase in the gas tax claimed that the increase would hurt working-class people the most, since they commute the farthest to work. Suppose that the group randomly surveyed individuals and asked them their daily one-way commuting mileage. The results are in Table 13.22. Using a significance level, test the hypothesis that the three mean commuting mileages are the same.
What is the statistic?
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.
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 n?
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