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WeLernEmGud University (the Flying Muskrats) knows that the historical mean of scholarship examination scores for freshmen applicants is 900. This year's scores have a standard deviation of 160. The University wants to determine if the average score has changed.

a. What are the hypotheses in this situation?

b. If 400 students took the examination and the average was 916, can you conclude that the average has changed (use α = 0.02)?

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