The mean score for freshmen on an aptitude test at a certain college is 540, with a standard deviation of 50. Assume the means to be measured to any degree of accuracy. What is the probability that two groups selected at random, consisting of 32 and 50 students, respectively, will differ in their mean scores by an amount between 5 and 15 points? Select one: a. 0.2368 b. 0.4736 c. 0.1408 d. 0.2816

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