In May 2018, The College Board reported the following mean scores for two parts of the Scholastic Aptitude Test (SAT): 

Evidence-Based Reading and Writing.......533 

Mathematics...............527 

Assume that the population standard deviation on each part of the test is s = 100. 

a. What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 533 on the Evidence-Based Reading and Writing part of the test? 

b. What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 527 on the Mathematics part of the test? 

c. Comment on the differences between the values computed in parts (a) and (b).