Let the sample mean of the 100 scores from university x, Ask an Expert

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Let X represent the SAT score of an entering freshman at University X. The random variable X is known to have a N(1200, 90) distribution. Let Y represent the SAT score of an entering freshman at University Y. The random variable Y is known to have a N(1215, 110) distribution. A random sample of 100 freshmen is obtained from each university. Let = the sample mean of the 100 scores from University X, and = the sample mean of the 100 scores from University Y.

What is the probability that will x be greater than y?

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Category:- Statistics and Probability
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