Scores for a common standardized college aptitude test are normally distributed with a mean of 512 and a standard deviation of 110. Randomly selected students are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. If 1 student is randomly selected, find the probability that their score is at least 583. P(X > 583) = Enter your answer as a number accurate to 4 decimal places. If 15 students are randomly selected, find the probability that their mean score is at least 583. P(X > 583) = 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 students perform better on the test. If the random sample of 15 students does result in a mean score of 583, is there strong evidence to support the claim that the course is actually effective? 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 583. O No. The probability indicates that it is possible by chance alone to randomly select a group of students with a mean as high as 583. Submit