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Probability value based on normal distribution.

Assume we draw two independent random samples, one consisting of 25 in-state first years and the other consisting of 25 out-of-state first years. What is the likelihood that the sample means score for in-state first years exceeds that of the out of state first years? Understand those two different tests, 1 and 2, are to be given to a student chosen at random from a certain population. Presume also that the mean score on test 1 is 85 and the standard deviation is 10; that the mean score on test 2 is 90 and the standard deviation is 16; that the scores on the two tests have a bivariate normal distribution; and that the correlation of the two scores is 0.8. What is the probability that the sum of the student's scores on the two tests will be greater than 200?

Statistics and Probability, Statistics

• Category:- Statistics and Probability
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