AP Multiple Choice Practice (from TPS 8E) Part 2

A random sample of 125 truck owners were asked what brand of truck they owned and whether or not the truck has four-wheel drive. The results are summarized in the two-way table.

Suppose that one of these truck owners is randomly selected. Which one of the following statements is true about the events "Owner's truck is Chevy" and "Owner's truck has 4-wheel drive"?

• The two events are mutually exclusive and indpendent.

• These two events are mutually exclusive, but not independent.

• These two events are not mutually exclusive, but are independent.

• These two events are neither mutually exclusive nor independent.

Answer explanation

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Forty students took a statistics test worth 50 points. The dotplot displays the data. What is the 3rd quartile?

• 44

• 32 to 44

• 32

• 23

Tags

CCSS.6.SP.B.5C

The bar graph summarizes responses of dog owners to the question, "Where in the car do you let your dog ride?" Which of the following statements is true?

• A majority of owners do not allow their pets to ride in the front seat.

• About twice as many pets are allowed to sit in the front passenger seat as in the passenger's lap.

• The vertical axis should start at 0.

• The distributions of where the dog rides is skewed to the right.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

• 0.01

• 0.09

• 0.85

• 0.975

Answer explanation

Think about the Central Limit Theorem for proportions.

Faked numbers in tax returns, invoices, or expense account claims often display patterns that aren't in legitimate records. Some patterns are obvious and easily avoided by a clever crook; other's are more subtle. It is a striking fact that the first digits of numbers in legitimate records often follow a model known as Benford's law (see the table).

A forensic accountant who is familiar with Benford's law inspects a random sample of 250 invoices from a company that is accused of committing fraud.

Assuming H₀ is true, what is the expected number of invoices that start with the digit 1?

• 27.78

• 30.10

• 75.25

• 250.00

Tags

CCSS.HSS.ID.B.6A

Anne wants to determine how much better a store-brand fertilizer works as a soil enhancement rather than homemade compost when growing tomatoes. To investigate, she plants two tomato plants in each of five planters. One plant in each planter is grown in soil with store-brand fertilizer; the other plant is grown in soil with homemade compost, with the choice of soil determined at random. In three months, she will harvest and weigh the tomatoes from each plant.

Assuming the conditions for inference are met, which of the following is the correct confidence interval procedure that Anne should use for these data?

• Paired t interval for a population mean difference

• Two-sample t interval for the difference between two population means

• Paired z interval for the population mean difference

• Two-sample z interval for the difference between two population means

Tags

CCSS.HSS.IC.B.4

Many people enjoy building with Lego blocks. To investigate the relationship between the number of pieces in a set and its cost, researchers gathered data on more than 1000 sets for sale on amazon.com. The relationship between x = number of pieces and y = cost ($) is linear with a least-squares regression line predicting the cost is 18.92 + 0.0912x.

How much does the predicted price of all Lego sets increase for each additional 100 pieces?

• $28.04

• $19.01

• $9.12

• $0.09

Tags

CCSS.8.SP.A.3

The back-to-back stemplot shows the lifetimes of several Brand X and Brand Y batteries.

One reason someone might prefer a Brand Y battery is

• most Brand X batteries had a lifetime of at least 300 hours.

• Brand Y batteries had the larger range of lifetimes.

• Brand X batteries had a longer minimum lifetime.

• Brand Y batteries had a longer median lifetime.

Tags

CCSS.7.SP.B.4

Researchers randomly selected 1700 people from Canada and rated the happiness of each person. Ten years later, the researchers followed up with each person and found that people who were initially rated as happy were less likely to have a heart problem. Which of the following is the most appropriate conclusion based on this study?

• Happiness causes better heart health for Canadians.

• Happier people in the study were less likely to have heart problems.

• Happier people in Canada are less likely to have heart problems.

• Happiness caused better heart health for the 1700 people in the study.

Tags

CCSS.RI.11-12.2

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

Suppose that a student is randomly selected from a large high school. The probability that the student is a senior is 0.22. The probability that the student has a driver's license is 0.30. If the probability that the student is a senior or has a driver's license is 0.36, what is the probability that the student is a senior and has a driver's license?

• 0.066

• 0.080

• 0.140

• 0.160

Answer explanation

Use the general addition rule.

Tags

CCSS.HSS.CP.B.7