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Scores for a common standardized college aptitude test are normally distributed with a mean of 483 and a standard deviation of 103. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. |f1 of the men is randomly selected, find the probability that his score is at least 540.1. P(X> 540.1) = [3 Enter your answer as a number accurate to 4 decimal places. If 13 of the men are randomly selected, find the probability that their mean score is at least 540.1. P(M > 540.1) = [:J Enter your answer as a number accurate to 4 decimal places. Assume that any probability less than 5% is sufficient evidence to conclude that the preparation course does help men do better. lfthe random sample of 13 men does result in a mean score of 540.1, is there strong evidence to support the claim that the course is actually effective? No. The probability indicates that it is possible by chance alone to randomly select a group of students with a mean as high as 540.1. Yes. The probability indicates that it is (highly ?) unlikely that by chance, a randomly selected group of students would get a mean as high as 540.1