The College Board reported the following mean scores for 3 parts of the Scholastic Aptitude Test (SAT): Critical Reading 502 Mathematics 515 Writing 494 Suppose that the population standard deviation on each part of the test is 100.
a. Determine the probability that a random sample of 64 test takers will provide sample mean test score of in 10 points of the population mean of 502 on the Critical Reading part of the test?
b. Determine the probability that a random sample of 81 test takers will provide a sample mean test score of within 10 points of the population mean of 515 on the Mathematics part of the test?
c. Determine the probability that a random sample of 100 test takers will provide a sample mean test score of within 10 points of the population mean of 494 on the Writing part of the test?