Download Name: Date: Chapter 6 Quiz Multiple Choice The mean of the

Name: ________________________________
Date: ______________
Chapter 6 Quiz
Multiple Choice
1.
a.
The mean of the standard normal distribution is
0
b. 1
c. 100
d. Variable
2.
Approximately what percentage of normally distributed data values will fall within 1 standard deviation above
or below the mean?
a. 68%
b. 95%
c. 99.7%
d. Variable
3. Which is not a property of the standard normal distribution?
a. It’s symmetric about the mean.
b. It’s uniform.
c. It’s bell-shaped
4.
a.
When one is using the standard normal distribution, P(z < 0) = _____________.
0
b. 50%
c. 100%
d. 68%
Short Answer
Using the standard normal distribution, find each probability.
5.
d. It’s unimodal
P(0 < z < 2.16)
6. P(-1.87 < z < 0)
7. P(-1.64 < z < 2.17)
8. P(z > 1.77)
9. P(z < -2.37)
10. P(z > -1.73)
11. P(z < 2.03)
12. P(z > -1.02)
The average height of a certain age group of people is 53 inches. The standard deviation is 4 inches. If the variable is
normally distributed, find the probability that a selected individual’s height will be
13. Greater than 59 inches
14. Less than 45 inches
15. Between 50 and 55 inches
16. Between 58 and 62 inches.
17. The average thickness of books on a library shelf is 8.3 centimeters. The standard deviation is 0.6 centimeter. If
20% of the books are oversized, find the minimum thickness of the oversized books on the library shelf. Assume the
variable is normally distributed.
18. Membership in an elite organization requires a test score in the upper 30% range. If  = 115 and  = 12, find the
lowest acceptable score that would enable a candidate to apply for membership. Assume the variable is normally
distributed.