Question: Suppose that the mean score for the critical reading test cited in Problem 8 is 580. What is the probability that a random sample of

Suppose that the mean score for the critical reading test cited in Problem 8 is 580. What is the probability that a random sample of 500 students will have a mean score of more than 590? Less than 575?

Data from in problem 8

Based upon extensive data from a national high school educational testing program, the standard deviation of national test scores for critical reading was found to be 115 points. If a sample of 500 students are given the test, what would be the standard error of the mean?

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