Question: A school superintendent wants to know whether the math fluency scores at the three middle schools in the district are equal. He collects data and
A school superintendent wants to know whether the math fluency scores at the three middle schools in the district are equal. He collects data and summarizes it in the table below.
- What statistical test would be appropriate for this analysis? What is the rationale for your choice?
- State the completenull and alternative hypotheses for the statistical test.
- What are the degrees of freedom for the test statistic for this scenario?
- How does the scenario above differ from a two-way ANOVA?
- Assuming a statistically significant outcome, state the conclusion for the test.
| Lewis School | King School | Adams School | |
| sample size n | 15 | 15 | 15 |
| mean score | 99 | 113 | 93 |
| variance | 111 | 205 | 160 |
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