Scores for a common standardized college aptitude test are normally distributed with a mean of 482 and a standard deviation of 111. 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. If 1 of the men is randomly selected, find the probability that his score is at least 559. P(X > 559) = Enter your answer as a number accurate to 4 decimal places. If 11 of the men are randomly selected, find the probability that their mean score is at least 559. P(M > 559) = 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. If the random sample of 11 men does result in a mean score of 559, 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 559. 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 559