A professor has a class with five recitation sections. Each section has 18 students. The question is whether or not the average test score is significantly different for any of the sections.Group-1Group-2Group-3Group-4Group-58656.8786541.862.552.283.570.360.375.261.188.875.353.244.651.37087.38642.262.149.976.649.765.875.165.744.449.881.349.757.878.862.984.960.158.357.155.855.566.557.564.873.775.964.261.475755980.964.584.963.269.960.277.171.869.959.35176.281.6624871.769.366.550.86656.988.175.358.470.363.773.967.546.262.244.360.190.261.867.540.568.254.971.7Conduct a test to determine if the group means are equal using α=0.02α=0.02. Summary statistics:F-ratio (F-test statistics) = p-value = (report accurate to at least 4 decimal places)What is the measure of effect size ω2ω2 ? This is on the Excel sheet and is also a measure of the percentage of variation explained by the variable being tested, similar to η2η2 and for correlation, r2r2 . (report accurate to at least 3 decimal places)

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Description: A professor has a class with five recitation sections. Each section has 18 students. The question is whether or not the average test score is significantly different for any of the sections.Group-1Group-2Group-3Group-4Group-58656.8786541.862.552.283.

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A professor has a class with five recitation sections. Each section has 18 students. The question is whether or not the average test score is significantly different for any of the sections.

Group-1	Group-2	Group-3	Group-4	Group-5
86	56.8	78	65	41.8
62.5	52.2	83.5	70.3	60.3
75.2	61.1	88.8	75.3	53.2
44.6	51.3	70	87.3	86
42.2	62.1	49.9	76.6	49.7
65.8	75.1	65.7	44.4	49.8
81.3	49.7	57.8	78.8	62.9
84.9	60.1	58.3	57.1	55.8
55.5	66.5	57.5	64.8	73.7
75.9	64.2	61.4	75	75
59	80.9	64.5	84.9	63.2
69.9	60.2	77.1	71.8	69.9
59.3	51	76.2	81.6	62
48	71.7	69.3	66.5	50.8
66	56.9	88.1	75.3	58.4
70.3	63.7	73.9	67.5	46.2
62.2	44.3	60.1	90.2	61.8
67.5	40.5	68.2	54.9	71.7

Conduct a test to determine if the group means are equal using α=0.02α=0.02.

Summary statistics:
F-ratio (F-test statistics) =
p-value =
(report accurate to at least 4 decimal places)

What is the measure of effect size ω2ω2 ? This is on the Excel sheet and is also a measure of the percentage of variation explained by the variable being tested, similar to η2η2 and for correlation, r2r2 .
(report accurate to at least 3 decimal places)

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