Normal Distribution, Z-Score

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

• z=X-M

• z=σ-M/μ

• ^z/M=μ

• z=X-μ/σ

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

• 2.26

• 16.45

• -2.26

• 1.26

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

• 0.77

• 5.33

• 1.07

• 1.26

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

• .7357

• .7673

• .7389

• .7967

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

• .9484

• .9664

• .9573

• .9582

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

• .6443

• .3974

• .3557

• .3156

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

• .0853

• .9147

• .8997

• .1003

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

• .2643

• .7357

• .7389

• .2611

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

• .86

• .85

• .83

• .80

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

• .0905

• .1052

• .0850

• .0672