A police chief wants to determine if crime rates are different for four different areas of the city (East, West, North, and South sides), and obtains data on the number of crimes per day in each of 24 neighborhoods within those areas. To test the null hypothesis that all population mean crime rates are equal, if the F-test statistic is 2.86, what is the p-value to 4 decimals (Hint: find the values of the degrees of freedom first)? 0,0212 0.0424 0.1068 0.0362 0.0534

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A police chief wants to determine if crime rates are different for four different areas of the city (East,
West, North, and South sides), and obtains data on the number of crimes per day in each of
24 neighborhoods within those areas. To test the null hypothesis that all population mean crime
rates are equal, if the F-test statistic is 2.86, what is the p-value to 4 decimals (Hint: find the values of
the degrees of freedom first)?
0.0212
0.0424
0.1068
0.0362
0.0534
Transcribed Image Text:A police chief wants to determine if crime rates are different for four different areas of the city (East, West, North, and South sides), and obtains data on the number of crimes per day in each of 24 neighborhoods within those areas. To test the null hypothesis that all population mean crime rates are equal, if the F-test statistic is 2.86, what is the p-value to 4 decimals (Hint: find the values of the degrees of freedom first)? 0.0212 0.0424 0.1068 0.0362 0.0534
Suppose you carry out a study to compare the average United Way contributions made by workers
from three local firms (Firms A, B, and C). A sample of workers is randomly selected from each firm
and, as a result, you rejected the null hypothesis, Ho: HA HB Hc. Now you want to apply the Tukey-
Kramer procedure to test which Firms differ in their mean contributions, using the descriptive
statistics below and the fact that the MSE from the ANOVA is 7.375.
Sample Mean
Sample Variance
Sample Size:
Firm A
$17
8
4
Firm B
$12
7
5
Firm C
$20
7
3
At 0.05 level of significance, what is the critical range when testing the null hypothesis that the
population mean contributions are the same for Firm A and Firm B?
Transcribed Image Text:Suppose you carry out a study to compare the average United Way contributions made by workers from three local firms (Firms A, B, and C). A sample of workers is randomly selected from each firm and, as a result, you rejected the null hypothesis, Ho: HA HB Hc. Now you want to apply the Tukey- Kramer procedure to test which Firms differ in their mean contributions, using the descriptive statistics below and the fact that the MSE from the ANOVA is 7.375. Sample Mean Sample Variance Sample Size: Firm A $17 8 4 Firm B $12 7 5 Firm C $20 7 3 At 0.05 level of significance, what is the critical range when testing the null hypothesis that the population mean contributions are the same for Firm A and Firm B?
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