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 7.123

123. Refer to Exercise 122.

  1. What is the probability that a sample of 16 students will have a sample mean math SAT score below 500?
  2. Why is the probability so much lower for the sample mean than for a particular student?

7.1.123

(a) 0.3156 (b) Means are less variable than individual values.