The College board reported the following mean scores for the three parts of the SATS:
Critical reading 502
Math 515
Writing 494
Assume the population standard deviation on each part of the test is 100.
a.) What is the probability 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?
b.) what is the probability a random sample of 90 takers will provide the 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.
c.) what is the probability a random sample of 100 takers will provide the sample mean test score within 10 points of the population mean of 494 on the writing part of the test?