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Students taking a test had a mean score of 310.1 with a standard deviation of 25.6....

Students taking a test had a mean score of 310.1 with a standard deviation of 25.6. Possible test scores could range from 0 to 600. Assume that the scores were normally distributed.  

A random sample of sample of 40 is drawn from a population of 4000. What is the probability the mean test score is greater than 250?

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