Statistics Significant Testing

PART 3: SIGNIFICANCE TESTING (12 PTS) 10. A researcher is interested in whether different types of encouragement affect performance on cognitive tasks. The researcher collects 33 participants and randomly assigns each participant to receive either verbal encouragement, physical encouragement (e.g., high-five), or no encouragement while completing a sudoku puzzle. The experimenter records how many minutes it takes to complete the puzzle (low times are better). The group averages are as follows: Verbal: M = 4.99; Physical: M = 5.05; No Encouragement: M = 5.14 a. What test would you use to analyze this data? (1 pt) b. The psychologist calculates the following F-value: F= 3.120. Calculate the appropriate degrees of freedom and use the F-table to find a critical value. (2 pts) F(,)= 3.120, Forit = c. Is this a significant finding? (1 pt) d. What kind of post hoc test should be used? (1 pt) e. Post hoc tests reveal significant differences between no encouragement and both physical and verbal encouragement. There was no significant difference between physical and verbal encouragement. What encouragement style seem to be the best, based on this study? (1 pt)