A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before receiving a raise in salary? Using the following ANOVA table, is there a difference in the mean number of months before receiving a raise among the four firms? Use the 0.01 level of significance. Analysis of Variance Source df SS MS F p Factor 3 25.89 8.63 4.27 0.031 Error 11 22.21 2.02 Total 14 48.10 a. What are the null and alternate hypotheses? H0: (μ1 > μ2 > μ3 > μ4 or μ1 = μ2 = μ3 = μ4 or μ1 ≠ μ2 ≠ μ3 ≠ μ4 or Treatment means are not all equal) ___________ H1: (μ1 > μ2 > μ3 > μ4 or μ1 = μ2 = μ3 = μ4 or μ1 ≠ μ2 ≠ μ3 ≠ μ4 or Treatment means are not all equal) ___________ b. What is the test statistic? (Round your answer to 2 decimal places.)The test statistic is _________c. What is the p-value? (Round your answer to 3 decimal places.)The p-value is ________d. What is your decision regarding the null hypothesis?Decision: (Reject or Do Not Reject)n_________ H0e. Interpret the result. There is (a difference or no difference) __________ in the mean number of months before receiving a raise among the four firms.
A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before receiving a raise in salary? Using the following ANOVA table, is there a difference in the mean number of months before receiving a raise among the four firms? Use the 0.01 level of significance.
| Analysis of Variance | |||||
| Source | df | SS | MS | F | p |
|---|---|---|---|---|---|
| Factor | 3 | 25.89 | 8.63 | 4.27 | 0.031 |
| Error | 11 | 22.21 | 2.02 | ||
| Total | 14 | 48.10 |
a. What are the null and alternate hypotheses?
H0: (μ1 > μ2 > μ3 > μ4 or μ1 = μ2 = μ3 = μ4 or μ1 ≠ μ2 ≠ μ3 ≠ μ4 or Treatment means are not all equal) ___________
H1: (μ1 > μ2 > μ3 > μ4 or μ1 = μ2 = μ3 = μ4 or μ1 ≠ μ2 ≠ μ3 ≠ μ4 or Treatment means are not all equal) ___________
b. What is the test statistic? (Round your answer to 2 decimal places.)
The test statistic is _________
c. What is the p-value? (Round your answer to 3 decimal places.)
The p-value is ________
d. What is your decision regarding the null hypothesis?
Decision: (Reject or Do Not Reject)n_________ H0
e. Interpret the result.
There is (a difference or no difference) __________ in the mean number of months before receiving a raise among the four firms.
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