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In an effort to counteract student cheating, the professor of a large class created several versions of a midterm exam, distributing the versions equally among

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In an effort to counteract student cheating, the professor of a large class created several versions of a midterm exam, distributing the versions equally among the students in the class. After the exam, 5 students from the class got together and petitioned to nullify the results on the grounds that the four versions were not equal in difficulty. To investigate the students' assertion, the professor performed a one-way, independent-samples ANOVA test using the 0.10 level of significance. The professor looked at the scores for the different versions of the exam (the "groups") to see if, indeed, the versions were not equal in difficulty. Below is the ANOVA table that summarizes this ANOVA test. (The exam was worth 200 points.) (a) Fill in the missing cell in the ANOVA table (round your answer to at least two decimal places). Source of Degrees of Sum of variation freedom squares Mean square F statistic X Treatments (between 4849.39 1616.46 groups) Error (within 352 131,876.8 374.65 groups) Total 355 136,726.19 (b) How many exam scores were looked at for the ANOVA test? 5 (c) For the ANOVA test, it is assumed that each population of scores (that is, the population of scores for each version) has the same variance. What is an unbiased estimate of this common population variance based on the sample variances? (a) Fill in the missing cell in the ANOVA table (round your answer to at least two decimal places) Source of Degrees of Sum of variation freedom squares Mean square F statistic X 2 Treatments (between 4849.39 1616.46 groups) Error (within 352 131,876.8 374.65 groups) Total 355 136,726.19 (b) How many exam scores were looked at for the ANOVA test? X (c) For the ANOVA test, it is assumed that each population of scores (that is, the population of scores for each version) has the same variance. What is an unbiased estimate of this common population variance based on the sample variances? X 15 (d) Using the 0.10 level of significance, what is the critical value of the F statistic for the ANOVA test? Round your answer to at least two decimal places. Pic Stitch

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