Question

The College Board reported the following mean scores for the three parts of the SAT (The World Aimanac, 2009): Excel File: data07-21.xls Critical Reading Mathematics Writing 502 515 494 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 points of the population mean of 502 on the Critical Reading part of the test? Round your answer to four decimal places. 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? Round your answer to four decimal places. Compare this probability to the value computed in part (a) Select your answer- c. What is the probability that a random sample of 100 test takers will provide a sample mean test score within 10 of the population mean of 494 on the writing part of the test? Round your answer to three decimal places. Comment on the differences between this probability and the values computed in parts (a) and (b) The input in the box below will not be graded, but may be reviewed and considered by your instructor.

Answer 1