Information regarding the ACT scores of samples of students

Information regarding the ACT scores of samples of students in three different majors is given below.

Major
Mgmnt Finance Accounting
28 22 29
26 23 27
25 24 26
27 22 28
21 24 25
19 26 26
27 27 28
17 29 20
17 28 20
23 24
28
28
29

Sums 230 225 338
Means 23 25 26
Variances 18 6.75 9.33

a. Set up the ANOVA table for this problem.
b. At 95% confidence test to determine whether there is a significant difference in the means of the three populations.

Solution

meh, here\'s a try at the table: a. ANOVA Source of Variation SS df MS p-value F F critical Between Groups 51.468 2 5.73 0.1248 2.27 3.328 Within Groups 328 29 11.31 Total 379.468 31 b. Since the p-value = 0.1248 > 0.05 do not reject Ho. (basically the same as 2.27 < 3.328)