Quiz: Properties of the Normal Curve

1. For the standard normal distribution, the area to the left of z = –1.4 is
a. 0.0808
b. 0.1616
c. 0.9192
2. For the standard normal distribution, the area to the right of z = 2.1 is
a. 0.0179
b. 0.0358
c. 0.9821
3. For the standard normal distribution, the area between z = –0.94 and z = 0.94 is
a. 0.1736
b. 0.3472
c. 0.6528
4. For the standard normal distribution, the area between z = 0.68 and z = 1.57 is
a. 0.1901
b. 0.7517
c. 0.9418
5. For the standard normal distribution, what value of z has an area of 0.20 to the left of z?
a. –2.05
b. –0.84
c. 0.84

Suppose that the scores on a test have a normal distribution with mean 500 and standard deviation 100. Use this data for questions 6 through 11.

6. What is the z-score for test score 350?
a. –3.5
b. –1.5
c. 1.5
7. What is the proportion of scores less than 350?
a. 0.0668
b. 0.5668
c. 0.9332
8. What is the proportion of scores greater than 400?
a. 0.1587
b. 0.6827
c. 0.8413
9. What is the proportion of scores between 450 and 600?
a. 0.3085
b. 0.5328
c. 0.8413
10. What score is the 90th percentile?
a. 372
b. 628
c. 664
11. What score is the 25th percentile?
a. 304
b. 433
c. 628

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