4. What z-scores are associated with the following percentile scores? a. 95% b.

Question

4. What z-scores are associated with the following percentile scores?

a. 95%         

b. 68%         

c. 50%         

d. 25%         

e. 10%

5. A person with a serum cholesterol level higher than 200 mg/dL falls in a high-risk category for cardiac disease. What percentage of the population WOULD NOT be in the high-risk category, if...

a. mean = 190, sd = 10

b. mean = 175, sd = 20

c. mean = 180, sd = 10

d. mean = 190, sd = 5

e. mean = 192, sd = 4.2

6. Using the example above for a-e, what percentage of the population WOULD be in the high-risk category?

7. Assume that the mean of the I.Q. test scale is 100 and the sd is 20. How smart are you, relative to the population, if you earn a score of...

a. 105      

b. 112       

c. 92         

d. 97        

e. 124

Explanation / Answer

4.)

(a) Z-score associated with 95 percentile rank is

= +1.64

(b) Z-score associated with 68 Percentile rank is

= +0.47

(c) Z-score associated with 50 percentile rank

= 0.00

(d) Z-score associated with 25 Percentile rank is -

= -0.67

(e) z-score associated with 10 percentile rank is

= -1.28

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