Question

In: Statistics and Probability

In a study, 38 random students of sample 1 were shown positive evaluations of an instructor...

In a study, 38 random students of sample 1 were shown positive evaluations of an instructor and 33 random students of sample 2 were shown negative evaluations of the instructor. Then all subjects were shown the same lecture video given by the instructor. They were then asked to rate the instructor out of 10, with 10 being the highest. Sample 1 gave a mean rating of 6.6 with a standard deviation of 0.75, while sample 2 gave a mean rating of 5.9 with a standard deviation of 1. Perform a hypothesis test at the 0.06 level of significance to determine if students of sample 1 rated the professor significantly higher than the students of sample 2.

Solutions

Expert Solution

Let denote the average rating given by students of group 1 and group 2 respectively.

There is sufficient evidence to support the claim that students of sample 1 rated the professor significantly higher than the students of sample 2.


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