SOLUTION: A psychologist believes that the kind of feedback a person receives about their work affects the quality of the work. You randomly assign 12 widget makers to one of three groups: p

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Question 480274: A psychologist believes that the kind of feedback a person receives about their work affects the quality of the work. You randomly assign 12 widget makers to one of three groups: positive feedback only, corrective feedback only, and no feedback. You track the number of widgets that each person makes correctly (out of 10) and obtain the following data:
Positive Feedback Only Corrective Feedback Only No Feedback
5 4 5
4 5 4
4 3 6
7 6 2
Use an analysis of variance (α = 0.05) to determine whether this data is sufficient to conclude that there are significant differences between feedback conditions.
Make sure you include a complete ANOVA summary table. Also, report the appropriate null and research hypotheses and the critical value (alpha = 0.05). In addition, provide your statistical conclusion, including calculation of test statistic.

Answer by stanbon(75887) About Me  (Show Source):
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A psychologist believes that the kind of feedback a person receives about their work affects the quality of the work. You randomly assign 12 widget makers to one of three groups: positive feedback only, corrective feedback only, and no feedback. You track the number of widgets that each person makes correctly (out of 10) and obtain the following data:
Positive Feedback Only Corrective Feedback Only No Feedback
5 4 5
4 5 4
4 3 6
7 6 2
Use an analysis of variance (α = 0.05) to determine whether this data is sufficient to conclude that there are significant differences between feedback conditions.
Make sure you include a complete ANOVA summary table. Also, report the appropriate null and research hypotheses and the critical value (alpha = 0.05). In addition, provide your statistical conclusion, including calculation of test statistic.
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Ho: u1 = u2 = u3
H1: At least one of the means is different
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I ran an AVOVA program and got the following:
test statistic: F = 0.2658
p-value = 0.7724
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Conclusion: Since the p-value is greater than 5%
fail to reject Ho.
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Cheers,
Stan H.
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