The PRC board examination has a mean score of 500 points. A review center promises to improve scores on the examination. Assuming that 625 persons enrolled the review center have a mean score of 493...

Kindly answer this engineering data analysis problem

Extracted text: The PRC board examination has a mean score of 500 points. A review center promises to improve scores on the examination. Assuming that 625 persons enrolled the review center have a mean score of 493 points with a standard deviation of 18.9 points. Will the review center hold its claim at alpha = 0.01? Note: Explicitly perform all necessary steps in hypothesis testing