A researcher is testing to see if there is a difference in the average per-pupil costs for private school tuition for three counties in the Portland, Oregon, metro area. Assume tuition costs are normally distributed. The following table shows random samples for the per-pupil costs for private school tuition in thousands of dollars. Software was used to conduct a one-way ANOVA to determine if the means are equal using � = 0.05. Sample Mean Sample Size Clackamas County 15.20059 17 Multnomah County 14.12714 14 Washington County 14.18455 11
A researcher is testing to see if there is a difference in the average per-pupil costs for private school tuition for three counties in the Portland, Oregon, metro area. Assume tuition costs are
Software was used to conduct a one-way ANOVA to determine if the means are equal using � = 0.05.
| Sample Mean | ||
| Clackamas County | 15.20059 | 17 |
| Multnomah County | 14.12714 | 14 |
| Washington County | 14.18455 | 11 |
ANOVA Table:
| SS | df | MS | F | p-value | |
| Between | 11.1381 | 2 | 5.5691 | 6.2037 | 0.004579 |
| Within | 35.0099 | 39 | 0.8977 | ||
| Total | 46.148 |
a.
What is the Bonferroni test statistic between groups 1 & 2?
What is the p-value for the Bonferroni test between groups 1 & 2?
b.
What is the Bonferroni test statistic between groups 1 & 3?
What is the p-value for the Bonferroni test between groups 1 & 3?
c.
What is the Bonferroni test statistic between groups 2 & 3?
What is the p-value for the Bonferroni test between groups 2 & 3?
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