SAT Math Scores. Use this information for Exercises 121–126. The College Board (www.collegeboard.com) reports that the nationwide mean math SAT score for 2013 is 514. Assume that the standard deviation is 116 and that the scores are normally distributed.

Question 7.126

image 126. What if the population standard deviation was greater than 116? Explain how this would affect the following, if at all:

  1. Probability that a sample of 16 SAT Math scores will have a mean less than 500
  2. 99.5th percentile of the sample mean SAT Math scores
  3. 0.5th percentile of the sample mean SAT Math scores