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...

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
83.7	84.3	56.6	67.5	60.7
80.8	77.1	83	71.9	80.2
91.3	72.4	77.4	70.5	57.3
80.1	74.4	79.2	79	68.7
93.3	71.9	73	81.8	70
78.1	73.7	74.5	62.8	64.5
76.5	69.7	81.4	75.1	63.1
68.2	72	75.2	83.7	65.5
62.8	71	79.3	85.4	67.6
76.5	73.1	74.5	81.5	67.1
79.2	67.9	74.9	86.7	72.2
62.1	78.7	84.8	63.4	80.8
86.7	97.2	66.8	79.3	68.2
79	74.6	66.4	75.9	67.7
79.1	82.3	69.3	70.3	68.2
71.1	62.2	53.3	71.1	58
61.8	68.9	82.7	60.2	73
70.7	83.2	61.9	64.6	49.5

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)

Conclusion:

The sample data suggest that some sections have significantly different average exam scores.

There is not sufficient data to suggest that some sections have significantly different average exam scpres.

The sample data suggest that some sections show a significant correlation to other sections

There is not sufficient data to suggest that some sections show a significant correlation to other sections.

The sample data suggest that some sections are dependent on other sections

There is not sufficient data to suggest that some sections are dependent on other sections.

Jun 04, 2022

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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...

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