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 (alpha = 0.05) to determine whether this data is sufficient to conclude that there are significant differences between the 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 a calculation of the test statistic, in the APA format and a conceptual conclusion in one to two sentences.