AP Stats Normal Distribution Practice

• 1" (inch)

• 3" (inches)

• 4" (inches)

• 6" (inches)

• 12" (inches)

• 0

• 1

• 2

• 3

• 5

• 4.83 inches

• 5.18 inches

• 6.04 inches

• 8.93 inches

• The standard deviation cannot be computed from the given information.

• The mean of the distribution is E.

• The area between B and F is .50.

• The median of the distribution is C.

• The 3rd quartile of the distribution is D

• The area under the curve between A and G is 1.

The EPA requires that the exhaust of each model of motor vehicle be tested for the level of several pollutants. The level of oxides of nitrogen (NOX) in the exhaust of one light truck model was found to vary among individual trucks according to an approximately Normal distribution with mean μ = 1.45 grams per mile driven and standard deviation σ = 0.40 gram per mile. Which of the following best estimates the proportion of light trucks of this model with NOX levels greater than 2 grams per mile?

• 0.0228

• 0.0846

• 0.4256

• 0.9154

• 0.9772

Which of the following is not correct about a standard Normal distribution?

• The proportion of scores that satisfy 0 < z < 1.5 is 0.4332.

• The proportion of scores that satisfy z < -1.0 is 0.1587

• The proportion of scores that satisfy z > 2.0 is 0.0228

• The proportion of scores that satisfy z < 1.5 is 0.9332

• The proportion of scores that satisfy z > -3.0 is 0.9938

Scores on the ACT college entrance exam follow a bell-shaped distribution with mean 21 and standard deviation 5. Wayne's standardized score on the ACT was -0.6. What was Wayne's actual ACT score?

• 3

• 13

• 16

• 18

• 24

• The median is at the yellow line and the mean is at the red line

• The median is at the red line and the mean is at the yellow line

• The mode is at the red line and the median is at the yellow line

• The mode is at the yellow line and the median is at the red line

• The mode is at the red line and the mean is at the yellow line

The weights of laboratory cockroaches follow a Normal distribution with mean 80 grams and standard deviation 2 grams. The following figure is the Normal curve for the distribution of weights. Point C on this Normal curve corresponds to

• 84 grams

• 82 grams

• 78 grams

• 76 grams

• 74 grams

The weights of laboratory cockroaches follow a Normal distribution with mean 80 grams and standard deviation 2 grams. The following figure is the Normal curve for the distribution of weights. About what percent of the cockroaches have weights between 76 and 84 grams?

• 99.7%

• 95%

• 68%

• 47.5%

• 34%