Question: Researchers want to compare the math performance of sixth-grade students in three different school board districts (referred to here as A, B and C). Simple random samples of 8 students are selected from each of the three districts (so 24 subjects in total), and their scores on a standard math achievement test are observed. The summary statistics for the test scores are as follows:

1. (1 point) Mark the sample means on the plot.
2. (2 points) Based on the data & the plot, does the equal variance condition hold? Explain.
   
   We will use one-way ANOVA to look for evidence that there are differences among the mean test scores for the three districts, using a 5% level of significance.
3. (4 points) Complete the following ANOVA table. Show your calculations.
   
4. (3 points) State the null and alternative hypotheses, defining any parameters used in the context of the problem.
5. (2 points) Report the p-value & assess the strength of the evidence
6. (3 points) Give a full conclusion in context.
7. (3 points) Find a 95% confidence interval for the difference in the mean exam score between districts B and C (you do NOT need to interpret it)
8. (2 points) Based on the interval in part (e), is there evidence that the mean scores for districts B and C differ? Yes or No

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Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document