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.

  1. What statistical test would be appropriate for this analysis? What is the rationale for your choice?
  2. State the completenull and alternative hypotheses for the statistical test.
  3. What are the degrees of freedom for the test statistic for this scenario?
  4. How does the scenario above differ from a two-way ANOVA?
  5. Assuming a statistically significant outcome, state the conclusion for the test.

Lewis School King School Adams School
sample size n 15 15
mean score 99 113
variance 111 205

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