Scores for a common standardized college aptitude test are normally distributed with a mean of 515 and a standard deviation of 100 . Randomly-selected women are given a Preparation Course before taking this test. a) If one of the women is randomly selected, find the probability that her score is at least 575.6. Enter your answer as a number accurate to 4 decimal places. b) If seventeen of the women are randomly selected, find the probability that their mean score is at least 575.6. Enter your answer as a number accurate to 4 decimal places. c) I initially assumed that the Preparation Course had no effect on people's test scores. A random sample of seventeen women does result in a mean score of more than 575.6. Is there strong evidence to support a claim that I was wrong -- and the Preparation Course is actually effective? O Yes. The probability indicates that -- if the Preparation Course has no effect -- it is highly unlikely that a randomly selected group of women would get a mean higher than 575.6 by chance. O No. The probability indicates that -- even if the Preparation Course has no effect -- it isn't unlikely to randomly select a group of women with a mean higher than 575.6 by chance