Question: Based upon extensive data from a national high school educational testing program, the mean score of national test scores for mathematics was found to be

 Based upon extensive data from a national high school educational testing

Based upon extensive data from a national high school educational testing program, the mean score of national test scores for mathematics was found to be 614 and the standard deviation of national test scores for mathematics was found to be 192 points. What is the probability that a random sample of 256 students will have a mean score of more than 623? Less than 594? The probability that a random sample of 256 students will have a mean score of more than 623 is (Round to four decimal places as needed.)

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