An educator believes the average score on a national spelling quiz is equal across three different school districts (districts 1, 2 and 3). A random sample is taken from each of the districts with the following results:
District 1 (X1) District 2 (X2) District 3 (X3)
10 8 10
3 10 2
5 7
5
10
Conduct an ANOVA on the data and test the hypothesis at the 0.05 level. Make sure to show your work (provide some tables) and use the F-table provided in class (not Excel). In your work, display the null and alternative hypotheses, the SSW and the SSB, along with the F statistic and the critical value of F in the test. Finish by providing the test results.