AP Stats chapter 1 & 2

The area under the standard normal curve corresponding to -0.2 < z < 2.03 is

• 0.5581

• 0.5686

• 0.3995

• 0.4100

Tags

CCSS.HSS.ID.A.4

The scores of the math portion of the SAT are approximately normal with a mean of 510 and a standard deviation of 42. Approximately what percent of students will score higher than 600?

• 0.9838

• 0.0162

• 0.0179

• 0.9821

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CCSS.HSS.ID.A.4

The life span of ladybugs is approximately normally distributed with a mean of 18 months and a standard deviation of 2.5 months. Only about 5% of ladybuds will have a lifespan outside which interval?

• 15.5 to 23 months

• 15.5 to 20.5 months

• 13 to 23 months

• 10.5 to 25.5 months

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CCSS.HSS.ID.A.4

The average high temperature in July for a midwest city is 89 degrees. What is the standard deviation if 15% of July's on record for the city have an average high temperature above 91.5 degrees? Assume average temperatures are normally distributed.

• s = 0.060

• s = 16.667

• s = 0.416

• s = 2.404

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

95% of students who take the AP stats exam need between 186 and 214 minutes to complete it. What is the standard deviation of time students need to finish the exam? Assume times are normally distributed.

• 4.67 minutes

• 14 minutes

• 7 minutes

• 28 minutes

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.4

Suppose that the mean of a set of values is 20, and the standard deviation is 3. If each value is increased by 5, what will be the mean and standard deviation of the new set of values?

• mean = 25, sd = 8

• mean = 20, sd = 3

• mean = 20, sd = 8

• mean = 25, sd = 3

Tags

CCSS.HSS.MD.A.2

A college offers scholarships to students who score in the top 2% of students on an entrance exam. If the mean score on the exam is 176 and the standard deviation is 4, what is the minimum score a student would need to get a scholarship?

• 167.80

• 184.20

• 176.08

• 179.92

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

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

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

When Sam goes to a restaurant, he always tips the server $2 plus $10% of the cost of the meal. If Sam's distribution of meal costs has a mean of $9 and a standard deviation of $3, what are the mean and standard deviation of his tip distribution?

• $2.90, $0.30

• $2.90, $2.30

• $9.00, $3.00

• $11.00, $2.00

• $2.00, $0.90

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.B.5

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