(Step-by-Step) An educational psychologist is studying student motivation in elementary school. A sample of n = 5 students is followed over 3 years from
Question: An educational psychologist is studying student motivation in elementary school. A sample of n = 5 students is followed over 3 years from fourth grade to sixth grade. Each year the students complete a questionnaire measuring their motivation and enthusiasm for school. The psychologist would like to know whether there are significant changes in motivation across the three grade levels. The data from this study are as follows:
Use the repeated-measures ANOVA to determine whether there are significant differences in motivation among the three grade levels. Use the 0.05 level of significance.
| Student | Fourth Grade | Fifth Grade | Sixth Grade |
| A | 4 | 3 | 1 |
| B | 8 | 6 | 4 |
| C | 5 | 3 | 3 |
| D | 7 | 4 | 2 |
| E | 6 | 4 | 0 |
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