Scores for a common standardized college aptitude test are normally standard deviation of 115. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the test has no effect. If one of the men is randomly selected, find the probability that his score is at least 553.4. P(X > 553.4) = Enter your answer rounded to 4 decimal places. If 16 of the men are randomly selected, find the probability that their mean score is at least 553.4. P(M> 553.4) = Enter your answer rounded to 4 decimal places. If the random sample of 16 men does result in a mean score of 553.4, is there strong evidence to support the claim that the course is actually effective? O Yes. The probability indicates that is is (highly ?) unlikely that by chance, a randomly selected group of students would get a mean as high as 553.4. O No. The probability indicates that is is possible by chance alone to randomly select a group of students with a mean as high as 553.4.

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