image Chapter 6 Case Study: SAT Scores and AP Exam Scores.

The College Board reported in 2013 that females taking the Writing SAT had a mean score of with a standard deviation of , whereas males had a mean score of with a standard deviation of . Assume both sets of scores follow a normal distribution. Use this information for Exercises 44–48.

Question 6.389

44. Suppose students win a writing scholarship if they score above 700 on the Writing SAT.

  1. Calculate the proportion of females who will be awarded the writing scholarship.
  2. Compute the percentage of males who will win the writing scholarship.
  3. Compare your answers to (a) and (b). Explain why this makes sense, given the values of and .