1) Specifically, what information does a z-score provide (i

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1) Specifically, what information does a z-score provide (i.e., if someone has a z-score of -1.25,

what does that mean)?

2) What does it mean when someone says you can use z-scores to compare "apples and

oranges" (or "aardvarks and airplanes")?

3) If someone got an exam score which corresponded to a z-score of +1.85, what letter grade

would you give them and why?

4)
 Suppose that hemaglobin levels in blood are normally distributed with a mean of 130

grams/L (with s = 10). A chronic cigarette smoker has a hemoglobin level of 115 grams/L. She

he be worried? Explain.

5) Suppose that the average time for women's 100 meter free-style swimming in the Olympics

is 55 secs. And that a time of 52 secs. corresponds to a z-score of -1.75. What would be the

standard deviation of this distribution?

6) A good score on the Graduate Record Exam (GRE) is required by many high-quality graduate

program. Suppose that a certain graduate program will only consider a student for admission, if

they score in the top 9% of those taking the exam. Based on the statistics presented below,

what score would you have to have on the verbal portion of the exam to be considered for

admission to this program?

 

Table 1: general test performance information

Measure number of test takers mean SD

verbal reasoning 1,640,350 150.37 8.49

quantitative reasoning 1,643,587 153.39 9.35

analytical writing 1,635,221 3.58 0.85