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Null Hypothesis and Alt Hypothesis

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.

Solution Preview

a)
The 2 professors are interested in finding out whether the mean test scores of the two sections are the same.

Let mu1 be the test scores of everyone in Saber's section, and mu2 be the test scores of everyone in Tooth's ...

Solution Summary

Null hypothesis and Atl hypothesis are examined. The expert provides a statement in terms of the hypothesis testing process.

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