A psychologist thinks that kind of feedback person receives about their work affects quality of work. You randomly assign 12 widget makers to one of three groups: positive feedback only, corrective feedback only, and no feedback. You track number of widgets that each person makes correctly (out of 10) and got following data:
Positive Feedback Only Corrective Feedback Only No Feedback
5 4 5
4 5 4
4 3 6
7 6 2
Use the analysis of variance (α = 0.05) to find out whether this data is sufficient to conclude that there are significant differences between feedback conditions.
Ensure you include the complete ANOVA summary table. Also, report suitable null and research hypotheses and critical value (alpha = 0.05). Additionally, give your statistical conclusion, comprising calculation of test statistic, in APA format and conceptual conclusion in one to two sentences.