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a professor at the university of florida teaches three courses during the semester. assume for this scenario that the professor's students take all three courses at the same time. after the semester, the professor sends 5 randomly selected students the course evaluations for the three courses. the course ratings are below on a scale of 1 to 10, with 1 being the lowest and 10 being the highest.student ratercourse 1course 2course 31109529973486477858107what is the correct null hypothesis?

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Final answer:

The correct null hypothesis for comparing the average course ratings given by a professor's students to three different courses would be that there is no difference between the mean ratings of the courses, expressed as H0: μ1 = μ2 = μ3.

Step-by-step explanation:

When analyzing the course ratings provided by students, the null hypothesis is a statement about the population parameter that suggests no effect or no difference. In the context of course evaluations, if we are investigating whether there is any difference in the average ratings of the three courses taught by the professor, the null hypothesis would typically assume that there is no difference in the mean ratings of the three courses.

Thus, the null hypothesis (often denoted as H0) for this scenario would be:

H0: μ1 = μ2 = μ3

Where μ1, μ2, and μ3 are the mean course ratings for course 1, course 2, and course 3, respectively.

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