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At a college, two professors, Saber and Tooth, are each teaching large sections of introductory statistics with 500 students in each section. They decide to compare the results from their first exam. It would be too cumbersome to compare all 1000 students, so the decide to select a random sample of 50 students from each section. They want to find out whether or not the mean scores of students performance in these two sections is comparable for this one exam.
A) State the null hypothesis and alternative hypothesis. Indicate the type of test to be performed (left-tailed, right-tailed, or two tailed)
B) Provide a statement in terms of the hypothesis testing process in this problem that would signify a Type I Error has been committed.
C) Provide a statement in terms of the hypothesis testing process in this problem that would signify a Type II Error has been committed.
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