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Week 6 Question 3 (10 marks) The College Board reported the following mean scores for the three parts of the SAT (The Worid Aimonoc, 2009}: Critical reading 502 Mathematics 515 Writing 494 Assume that the population standard deviation on each part of the test is 100. a) What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 poinE of the population mean of 502 on the Critical reading part of the test? (4 marks] b) What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test? Compare this probability to the value computed in part (a). (5 marks]