AP Statistics Multiple Choice Practice 2

Height, in meters, is measured for each person in a sample. After the data are collected, all the height measurements are converted from meters to centimeters by multiplying each measurement by 100. Which of the following statistics will remain the same for both units of measure?

• The mean of the height measurements

• The median of the height measurements

• The standard deviation of the height measurements

• The maximum of the height measurements

• The z-scores of the height measurements.

A school principal wanted to investigate student opinion about the food served in the school cafeteria. The principal selected at random samples of 50 first-year students, 50 second-year students, 50 third-year students, and 50 fourth-year students to complete a questionnaire. Which of the following best describes the principal's sampling plan?

• A stratified random sample

• A simple random sample

• A cluster sample

• A convenience sample

• A systematic sample

Tags

CCSS.HSS.IC.B.3

For the three histograms pictured here, which of the following correctly orders the histograms from the one with the smallest proportion of data above its mean to the one with the largest proportion of data above its mean?

• J, K, L

• J, L, K

• K, L, J

• L, K, J

• All three histograms have the same proportion of data above their respective means.

Tags

CCSS.6.SP.A.2

A candy company produces individually wrapped candies. The quality control manager for the company believes that the weight of the candies is approximately normally distributed with mean 720 milligrams (mg). If the manager's belief is correct, which of the following intervals of weights will contain the largest proportion of the candies in the distribution of weights?

• 740 mg to 780 mg

• 700 mg to 740 mg

• 680 mg to 720 mg

• 660 mg to 700 mg

• 620 mg to 660 mg

Tags

CCSS.HSS.ID.A.4

The amount of time required for each of 100 mice to navigate through a maze was recorded. The histogram here shows the distribution of times, in seconds, for the 100 mice. Which of the following values is closest to the standard deviation of the 100 times?

• 2.5 seconds

• 10 seconds

• 20 seconds

• 50 seconds

• 90 seconds

If a probability distribution is symmetric, which of the following statements must be true?

• The distribution is normal

• The distribution is uniform

• The distribution is bimodal

• The mean of the distribution is equal to the median of the distribution

• The interquartile range of the distribution is equal to the standard deviation of the distribution

A police officer is using a radar device to check motorists' speeds. Prior to beginning the speed check, the office estimates that 40% of motorists will be driving more than 5 miles per hour over the speed limit. Assuming that the police officer's estimate is correct, what is the probability that among 4 randomly selected motorists, the officer will find at least 1 motorist driving more than 5 miles per hour over the speed limit?

• 0.0256

• 0.1296

• 0.3456

• 0.8704

• 0.9744

In a certain school, 17% of the students are enrolled in a psychology course, 28% are enrolled in a foreign language course, and 32% are enrolled in either a psychology course or a foreign language course or both. What is the probability that a student chosen at random from this school will be enrolled in both a foreign language course and a psychology course?

• 0.45

• 0.32

• 0.20

• 0.13

• 0.05

Tags

CCSS.HSS.CP.B.7

Random variable X is normally distributed with mean 10 and standard deviation 3, and random variable Y is normally distributed with mean 9 and standard deviation 4. if X and Y are independent, which of the following describes the distribution of Y-X?

• Normal with mean 1 and standard deviation -1

• Normal with mean -1 and standard deviation 1

• Normal with mean -1 and standard deviation 5

• Normal with mean 1 and standard deviation 7

• Normal with mean -1 and standard deviation 7

The student government at a high school wants to conduct a survey of student opinion. It wants to begin with a simple random sample of 60 student. Which of the following survey methods will produce a simple random sample?

• Survey the first 60 students to arrive at school in the morning.

• Survey every 10th student entering the school library until 60 students are surveyed.

• Use random numbers to choose 15 each of first-year, second-year, third-year, and fourth-year students.

• Number the cafeteria seats. Use a table of random numbers to choose seats and interview the students until 60 have been interviewed.

• Number the students in the official school roster. Use a table of random numbers to choose 60 students from this roster for the survey.

Tags

CCSS.HSS.IC.B.3