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Student grades in a sufficiently large class tend to follow a normal distribution. Suppose the final...

Student grades in a sufficiently large class tend to follow a normal distribution. Suppose the final exam of a class follows a normal distribution with a mean of 75 and a standard deviation of 7.5. Select a score of 95 and specify its z-score based on this distribution.

When calculating the z-score, include the steps leading to the workings. That way, any mistakes can be quickly seen and corrected. Use the chosen raw score (95) and the calculated z-score to provide a letter grade for the student. Based on these, convey a message to the audience and if possible, indicate your conclusion(s) and/or recommendation(s), if any. For example, would you recommend the student for scholarship? Is the student's performance not as good and you recommend some form of help, e.g., tutoring?

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