Chapter 6 Review
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Subject
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Date
Apr 3, 2024
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Houston Community College --
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Math 1342 Statistics
Review Chapter 6
Name : ________________________________________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1)
Which of the following characteristics does not apply to a theoretical normal
distribution?
1)
A)
It is never negative.
B)
It is bell-shaped.
C)
It is bimodal.
D)
The mean, median, and mode are equal.
2)
In applied statistics, it is the area under the normal distribution curve which is most
important, not the value of single points on the curve.
2)
A)
False
B)
True
3)
If a normal distribution has a mean of 20 and a standard deviation of 10, then
3)
A)
the median is 30 and the mode is 10.
B)
the median is 10 and the mode is 30.
C)
the median is 20 and the mode is 20.
D)
the median is 20 and the mode is 30.
4)
The area under a normal distribution curve is always positive even if the z
value is
negative.
4)
A)
True
B)
False
5)
The figure below is an example of a negatively skewed distribution.
5)
A)
False
B)
True
6)
When the data values are evenly distributed about the mean, the distribution is said to be
.
6)
A)
symmetrical
B)
normal
C)
bimodal
D)
uniform
1
7)
Stating that the area under the standard normal distribution curve between z
= 0 and
z
= 1.00 is 0.3413, is the same as stating that the of randomly selecting a
standard normally distributed variable z with a value between 0 and 1.00 is 0.3413.
7)
A)
probability
B)
range
C)
score
D)
error
8)
Find the area under the standard normal distribution curve between z
= 0 and z
= 2.16.
8)
A)
0.9846
B)
0.4846
C)
0.3708
D)
2.1600
9)
Find the area under the standard normal distribution curve between z
= 0 and z
= -2.16.
9)
A)
0.9846
B)
0.3708
C)
–2.1600
D)
0.4846
10)
Find the area under the standard normal curve to the left of z
= 1.9.
10)
A)
0.4857
B)
0.4713
C)
0.9713
D)
0.0287
11)
Find the area under the standard normal curve to the right of z
= 2.7.
11)
A)
0.0035
B)
0.4965
C)
0.9965
D)
0.0018
12)
The probability P
(0 < z
< 0.97) is 0.3340.
12)
A)
True
B)
False
2
13)
What is the area under the standard normal distribution curve between z
= 1.50 and
z
= 2.50?
13)
A)
1.00
B)
0.0606
C)
0.0802
D)
0.0764
14)
Find the z
value that corresponds to the given area.
14)
A)
0.07
B)
–1.46
C)
1.23
D)
1.46
15)
Find the z
-score for which the area to the right is 0.52.
15)
A)
0.13
B)
-0.26
C)
-0.12
D)
-0.05
16)
Find the z
value that corresponds to the given area.
16)
A)
-1.52
B)
-0.17
C)
0.17
D)
1.52
17)
If a normally distributed group of test scores have a mean of 70 and a standard deviation
of 12, find the percentage of scores that will fall below 50.
17)
A)
45.25%
B)
6.75%
C)
4.75%
D)
35.54%
3
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