A certain organization 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 o = 100. (Round your answers to four decimal places.)
(a) What is the probability a sample of 54 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 54 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).
The probability of being within 10 of the mean on the evidence-based reading and writing portion of the test is --Select-
Mathematics portion of the SAT. This is because the standard error is ---Select in both cases.
the probability of being within 10 on the