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Z-scores

Total questions: 16

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

What is the formula to find the z-score for population?

a)

z=X-M

b)

z=σ-M/μ

c)

z/M=μ

d)

z=X-μ/σ

2.

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

a)

2.26

b)

16.45

c)

-2.26

d)

1.26

3.

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

a)

0.77

b)

5.33

c)

1.07

d)

1.26

4.

What is the probability that a score is under (left of) .73?

a)

.7357

b)

.7673

c)

.7389

d)

.7967

5.

What is the probability that a score is under (left of) 1.73?

a)

.9484

b)

.9664

c)

.9573

d)

.9582

6.

What is the probability that a score is under (left of) 2.37?

a)

.9911

b)

.9913

c)

.9916

d)

.9936

7.

What is the probability that a score is under (left of) -.37?

a)

.6443

b)

.3974

c)

.3557

d)

.3156

8.

What is the probability that a score is under (left of) -1.37?

a)

.0853

b)

.9147

c)

.8997

d)

.1003

9.

What is the probability that a score is above (right of) 2.37?

a)

.0116

b)

.0089

c)

.0068

d)

.0051

10.

What is the probability that a score is above (right of) -.64?

a)

.2643

b)

.7357

c)

.7389

d)

.2611

11.

What is the z-score that corresponds to 80.23% of the data to the left?

a)

.86

b)

.85

c)

.83

d)

.80

12.

What is the z-score that corresponds to 95.73% of the data to the left?

a)

1.52

b)

1.62

c)

1.72

d)

1.82

13.

What is the probability that the absolute value of z is less than .97?

a)

.6680

b)

.6156

c)

.6212

d)

.8340

14.

What is the probability that a score will fall between 1.12 and 1.94 standard deviations?

a)

.0905

b)

.1052

c)

.0850

d)

.0672

15.

What is the probability that a score will fall between 2.10 and 3.09 standard deviations?

a)

.0179

b)

.0010

c)

.016

d)

.0169

16.

Find the value for

P(Z < -0.386)

a)

0.3498

b)

0.3520

c)

0.3501

d)

0.6502