The mean score for freshmen on an aptitude test at a certain college is 550, with a standard deviation of 60. Assume the means to be measured to any degree of accuracy. What is the probability that two groups selected at random, consisting of 63 and 60 students, respectively, will differ in their mean scores by (a) more than 15 points? (b) an amount between 4 and 6 points? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) The probability the difference is more than 15 points is (Round to four decimal places as needed.)

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