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Z Scores and Area Under a Normal Curve

Total questions: 28

Worksheet time: 1hrs 8mins

Name
Class
Date
1.

What is the total area under the normal curve in a standard normal distribution?

a)

1

b)

2

c)

3

d)

4

2.
A z-score tells you...
a)
the standard deviation of a sampling distribution.
b)
the original raw score on which it is based.
c)
if the distribution it comes from is normal.
d)
how many standard deviations away from the mean a score lies.
3.
Find the area of the shaded region if the z-score is 0.75
a)
0.2266
b)
0.7734
c)
0.758
d)
0.242
4.
Find the area under the normal distribution curve to the left of 
Z=0.27.
a)
0.3936
b)
0.3897
c)
0.6064
d)
0.4892
5.
Find the area under the normal distribution curve that represents the area to the left of Z =-2.37.
a)
0.0089
b)
0.9910
c)
0.1401
d)
0.1381
6.
Find the area under the standard normal curve to the right of z = -2.67.
a)
0.0869
b)
0.9962
c)
0.0008
d)
0.1234
7.
Find the area under the normal distribution curve between a z=-1.26 and z=.57. 
a)
0.0047
b)
0.9204
c)
0.6119
d)
0.4981
8.
Find the area under the normal distribution curve between 
z=-1.53 and z=0.
a)
0.437
b)
0.563
c)
0.500
d)
0.063
9.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
10.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
11.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
12.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
13.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)

32%

c)
95%
d)
50%
14.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
32%
c)
16%
d)
50%
15.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
5%
b)
95%
c)
2.5%
d)
50%
16.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
5%
b)
95%
c)
2.5%
d)
50%
17.
The data is normally distributed.  What percentage of the data is in the shaded region?
a)
68%
b)
34%
c)
50%
d)
84%
18.
This data is normally distributed.  What percentage of the data is in the shaded region?
a)
68%
b)
34%
c)
17%
d)
50%
19.

Find the area under the normal distribution curve to the left of z = 0.44

a)

0.6700

b)

0.7632

c)

0.3300

d)

-0.5632

20.

Find the area under the standard normal curve to the left of z = -2.04

a)

0.0207

b)

0.0498

c)

2.040

d)

0.9793

21.

What is the area under the normal standard distribution to the right of z = -1.04

a)

0.7631

b)

0.2300

c)

0.8508

d)

0.1492

22.

What is the area under the normal standard curve between z = -0.84 and z = 1.28

a)

0.8997

b)

0.2005

c)

0.6992

d)

-0.1392

23.

What is the area under the normal standard curve to the right of z = -1.5

a)

0.0668

b)

0.9332

c)

0.8723

d)

1.323

24.

Find the area of the shaded region

a)

1.023

b)

0.7611

c)

0.1841

d)

0.9452

25.

Find the area of the shaded region (to the right of z=-.92)

a)

0.1788

b)

0.8212

c)

0.6424

d)

0.8875

26.

Find the area of the shaded region.

a)

0.9357

b)

-0.0732

c)

0.0643

d)

0.0243

27.

Find the area of the shaded region

a)

0.0075

b)

0.9649

c)

0.9573

d)

0.7211

28.

Find the area of the shaded region

a)

0.8686

b)

0.9332

c)

0.0645

d)

0.1314