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(Extra Credit - 5 Points) A teaching assistant for a graduate statistics class examines mid-term test scores. He splits the scores into 2 equal groups,

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(Extra Credit - 5 Points) A teaching assistant for a graduate statistics class examines mid-term test scores. He splits the scores into 2 equal groups, those who took the test the rst 2 days (early) and those who took it the last day (late) He generates a box plot of test scores and then runs a hypothesis test as shown below. He tells the instructor that students who took the test early scored nearly 14% higher and that the difference is statistically signicant. He tells the professor that he should advise students to take the next exam early, because on average it will raise their score 14%. Comment on the TA's recommendation. Mid Term Scores 120 100 4G 20 I Early I Late t-Test: Two-Sample Assuming Unequal Variances Early Late Mean 98.62333 84.87133 Variance 44.05497 224.427 Observations 15 15 Hypothesized Mean Difference 0 df 19 t Stat 3.250528 P(T

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