This problem is based on problems 11.4 & 11.5 from Lomax & Hahs-Vaughn, 3rd ed.

A professor has a class with six recitation sections.  Each section has 21 students (rare, but there are exactly the same number in each class...how convenient for our purposes, yes?).  At first glance, the professor has no reason to assume that these exam scores from the first test would not be independent and normally distributed with equal variance.  However, the question is whether or not the section choice (different TAs and different days of the week) has any relationship with how students performed on the test.

Group-1	Group-2	Group-3	Group-4	Group-5	Group-6
67.4	64	64.1	74.4	66.6	82.1
60.8	80	55.3	88.9	75.9	65.7
66	71.8	66.3	79.4	66.5	83.8
80.4	74.5	68.3	74.1	92.2	69.9
73	59.2	76.1	65.7	80.5	63.9
72.9	72.1	71.3	74.1	72.2	58.6
60.8	79	65.5	84.9	67.4	75.9
66.2	67.3	70.2	62.4	76.8	65.8
74.3	60.2	77.4	76.4	76.3	63.2
65.5	65.4	56.8	71.9	63.3	45.5
55.4	78.1	75.3	61.2	77.5	77.8
69.6	66	60.9	68.8	76.7	66.1
63.5	70.7	60.3	55	63.5	77.1
59.4	70	61.9	64.2	72.3	76.6
76.5	87.7	56.6	69	76.8	66
73.1	80.5	76.2	56.6	71.1	69.8
56.1	80.6	67.6	75.2	71.6	76.5
64.3	65.4	63.7	60.2	75	47.5
69.1	71.4	67.3	74.2	75.3	64.7
51.9	89.8	73	74.2	72	76.3
53.5	76.5	59.7	69.9	71	51.8

Use SPSS (or another statistical software package) to conduct a one-factor ANOVA to determine if the group means are equal using $\displaystyle \alpha={0.10}$.  Though not specifically assessed here, you are encouraged to also test the assumptions, plot the group means, and interpret the results (e.g., if there was an effect, what was the magnitude).

ANOVA summary table (report all values accurate to 3 decimal places):

Source	SS	df	MS
Group
Error

ANOVA summary statistics:
F-ratio =
    (report accurate to 3 decimal places)
$\displaystyle {p}=$
    (report accurate to 4 decimal places)

Measure of effect size:
$\displaystyle \omega^{{2}}=$
    (report accurate to 3 decimal places)

Conclusion: