A school superintendent wants to test a new method of teaching arithmetic to 4^th graders at the 15 schools in his district. He plans to select 8 students from each school to take part in the experiment, but to make sure they are roughly of the same ability, he first gives a test to all 120 students and the Test Scores are listed in data file.

1. State the null and alternate hypothesis we would run to determine if the test scores across all 15 schools is the same.
2. Run a one-way ANOVA on these data. Show MiniTab output.
3. What conclusions can you make based on the p-value of this test?
4. Obtain boxplots and residuals plots of this data set.
5. For School A, school G and School O, run Normality check on residuals and a box plot, and discussion if all assumptions been met? Explain using your plots to illustrate your answer.