short stats essay

Suppose the California Department of Education reports that the mean SAT score in Orange County is 1540 while the mean SAT score in Riverside County is 1400.  How would you conduct one-way ANOVA test to find out whether the mean SAT scores between Orange and Riverside Counties are statistically different or equal?

In the essay, make sure you include the following components:

(1) State null and alternative hypotheses for this scenario,

(2) Discuss how you would test ANOVA

(3) What is the statistical rationale for rejecting or failing to rejecting the null hypothesis in this case? Your justification should be based on the comparison of p-value and significance level. Note that this is a hypothetical scenario, and you can make up numbers, but your arguments should be based on appropriate statistical concepts and theory 

(Minimum Words Count: 300 words)