Question

If your score on a statistics exam was 76 and the professor gave you the distribution for the exam score for your class, you could find your percentile to understand where you stand in comparison to your fellow students. Assume that the distribution for exam scores is normally distributed with a mean of 80 and a standard deviation of 8.

a) What is the percentile corresponding to your test score?
b) In terms of percentiles, would you be better off in a class for which scores were normally distributed with a mean of 78 and a standard deviation of 8? Explain.
c) In terms of percentiles, would you be better off in a class for which scores were normally distribuated with a mean of 80 and a standard deviation of 4? Explain.

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