AP Stat - 1st Semester Review

The five-number summary for a data set is given by min = 5, Q₁ = 18, median = 20, Q₃ = 40, max = 75. If you wanted to construct a boxplot for the data set (that is, one that would show outliers, if any existed), what would be the maximum possible length of the right-side “whisker”?

• 35
• 40
• 45
• 53

Tags

CCSS.HSS.ID.A.1

The probability distribution for the number of heads in four tosses of a coin is given above. The probability of getting at least one tail in four tosses of a coin is

• 15/16
• 4/16
• 1/16
• 14/16

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CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

In a certain large population of adults, the distribution of IQ scores is strongly left-skewed with a mean of 122 and a standard deviation of 5. Suppose 200 adults are randomly selected from this population for a market research study. The distribution of the sample mean of IQ scores is

• exactly Normal with mean 122 and standard deviation 5.
• exactly Normal with mean 122 and standard deviation 0.35.
• approximately Normal with mean 122 and standard deviation 5.
• approximately Normal with mean 122 and standard deviation 0.35.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.1

A 10-question multiple-choice exam offers 5 choices for each question. Jason just guesses the answers, so he has probability 1/5 of getting any one answer correct.You want to perform a simulation to determine the number of correct answers that Jason gets. One correct way to use a table of random digits to do this is the following:

• One digit from the random digit table simulates one answer, with 0 or 1 = right and all other digits = wrong. Ten digits from the table simulate 10 answers.
• One digit from the random digit table simulates one answer, with odd = right and even = wrong. Ten digits from the table simulate 10 answers.
• One digit from the random digit table simulates one answer, with 5 = right and all other digits = wrong. Ten digits from the table simulate 10 answers.
• Two digits from the random digit table simulate one answer, with 00 to 20 = right and 21 to 99 = wrong. Ten pairs of digits from the table simulate 10 answers.

Tags

CCSS.HSS.CP.A.1

Suppose we roll a fair die four times. The probability that a 6 occurs on exactly one of the rolls is

• 6(1/6)^2(5/6)^2
• 4(1/6)^1(5/6)^3
• 4(1/6)^3(5/6)^1
• 1(1/6)^0(5/6)^4

Tags

CCSS.HSS.CP.B.9

You want to take an SRS of 50 of the 816 students who live in a dormitory on a college campus. You label the students 001 to 816 in alphabetical order. In the table of random digits, you read the entries
95592 94007 69769 33547 72450 16632 81194 14873
The first three students in your sample have labels

• 955, 929, 400.
• 400, 769, 769.
• 400, 769, 335.
• 929, 400, 769.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

The number of unbroken charcoal briquets in a 20-pound bag filled at the factory follows a Normal distribution with a mean of 450 briquets and a standard deviation of 20 briquets. The company expects that a certain number of the bags will be underfilled, so the company will replace for free the 5% of bags that have too few briquets. What is the minimum number of unbroken briquets the bag would have to contain for the company to avoid having to replace the bag for free?

• 404
• 418
• 411
• 425

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

You work for an advertising agency that is preparing a new television commercial to appeal to women. You have been asked to design an experiment to compare the effectiveness of three versions of the commercial. Each subject will be shown one of the three versions and then asked about her attitude toward the product. You think there may be large differences between women who are employed and those who are not. Because of these differences, you should use

• a simple random sample.
• a matched pairs design.
• a completely randomized design.
• a block design, but not a matched pairs design.

Tags

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.5

Suppose that you have torn a tendon and are facing surgery to repair it. The orthopedic surgeon explains the risks to you. Infection occurs in 3% of such operations, the repair fails in 14%, and both infection and failure occur together 1% of the time. What is the probability that the operation is successful for someone who has an operation that is free from infection?

• 0.8342 
• 0.8660
• 0.8400
• 0.8600

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Social scientists are interested in the association between high school graduation rate (HSGR, measured as a percent) and the percent of U.S. families living in poverty (POV). Data were collected from all 50 states and the District of Columbia, and a regression analysis was conducted.The resulting least-squares regression line is given by POV-hat = 59.2 − 0.620(HSGR) with r² = 0.802. Based on the information, which of the following is the best interpretation for the slope of the least-squares regression line?

• For each 1% increase in the graduation rate, the percent of families living in poverty is predicted to decrease by approximately 0.620.
• For each 1% increase in the graduation rate, the percent of families living in poverty is predicted to decrease by approximately 0.896.
• For each 1% increase in the graduation rate, the percent of families living in poverty is predicted to increase by approximately 0.620.
• For each 1% increase in the graduation rate, the percent of families living in poverty is predicted to decrease by approximately 0.802.

Tags

CCSS.HSS.ID.C.7