Probabilities Using the Normal Distribution

Find the z-score such that the area under the standard normal curve is 0.3015

• -1.88

• 0.52

• -0.52

• 1.88

Find the z-score such that the area above the standard normal curve is 0.4404. 

• -0.15

• -1.71

• 1.71

• 0.15

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

• 0.77

• 5.33

• 1.07

• 1.26

Find the z-score.

Mean = 45

Standard Deviation: 2.1

x = 50

• 2.38

• 3.00

• 3.08

• 2.33

Use the image of the normal graph provided. What is the value of the mean?

• 6

• 34

• 52

• 70

• 15.87%

• 15.39%

• 9.68%

• 84.61%

The z-table gives the percent of data at or below a z-score.

• True

• Sometimes true, sometimes false

• False

Convert the following into the original x-value using μ = 5.3 and σ = 0.4.
z = 1.51

• X = -9.475

• X = 9.475

• X = -5.904

• X = 5.904

Convert the following into the original x-value using μ = 18.1 and σ = 1.9.
z = -0.5

• X = -9.789

• X = 9.789

• X = -17.15

• X = 17.15

What is the area under the normal curve between one standard deviation below the mean and one standard deviation above the mean?

• 0.16

• 0.34

• 0.50

• 0.68