AP Statistics Chapters 11-12 Practice Problems
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
1) Criticize the following simulation: A student uses a random number from 5 to 13 to simulate the
shoe sizes of a population of females.
A) The simulation will not model the real situation. To accurately model the population, the
simulation should also account for the foot width.
B) The simulation will not model the real situation. Some females have foot sizes that fall outside
of the range.
C) The simulation will not model the real situation. It will predict too many small sizes and too
many large sizes. Extremes in foot size are not all that common.
D) The simulation should model the real situation.
E) The simulation will not model the real situation. The shoes size of a particular female is
unpredictable and cannot be modeled.
1)
2) Criticize the following simulation: A student simulates the outcome of a basketball player's 3-point
shot by letting 0 = missed shot and 1 = made shot.
A) The simulation cannot model the real situation. Shooting accuracy varies from day to day, so
the real situation is inherently unpredictable.
B) The simulation probably will not model the real situation. The simulation assumes that the
player makes 50% of his 3-point shots, which is probably unrealistic.
C) The simulation should model the real situation.
D) The simulation will not model the real situation. The simulation fails to account for the type
of defense employed by the opposing team.
E) The simulation probably will not model the real situation. The shooter's accuracy on a given
day might be affected by an injury or illness.
2)
3) A tax referendum for property tax funding for a bond issue to build a new school is on the ballot in
the next election. A member of the referendum committee is confident that the question will have
about 52% of the votes cast in the school district. But, you're worried that only 1,000 voters will
show up at the polls since this is an off-year election. How often will the referendum question lose?
To find out, you set up a simulation. Describe how you will simulate a component and its
outcomes.
A) The component is one voter voting. An out come is a vote yes for the referendum. Use three
random digits, giving 000-599 a yes vote and 600-999 a no vote.
B) The component is one voter voting. An outcome is a vote yes or no for the referendum. Use
three random digits, giving 000-520 a yes vote and 521-999 a no vote.
C) The component is one voter voting. An out come is a vote no for the referendum. Use three
random digits, giving 000-520 a yes vote and 521-999 a no vote.
D) The component is ten voters voting. An outcome is a vote yes or no for the referendum. Use
two random digits, giving 00-52 a yes vote and 53-99 a no vote.
E) The component is one hundred voters voting. An out come is a vote yes or no for the
referendum. Use one random digit, giving 0-5 a yes vote and 6-9 a no vote.
3)
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4) A tax referendum for property tax funding for a bond issue to build a new school is on the ballot in
the next election. A member of the referendum committee is confident that the question will have
about 52% of the votes cast in the school district. But, you're worried that only 1,000 voters will
show up at the polls since this is an off-year election. How often will the referendum question lose?
To find out, you set up a simulation. Describe how you will simulate a trial.
A) A trial is 1,000 votes. Examine 1,000 3-digit random numbers and only count how many
people voted yes for the referendum. That number wins that trial.
B) A trial is 100 votes. Examine 100 2-digit random numbers and count how many people voted
yes and how many voted no for the referendum. Whichever gets the majority of votes wins
that trial.
C) A trial is 100 votes. Examine 1,000 2-digit random numbers and count how many people
voted no for the referendum. That number wins that trial.
D) A trial is 1,000 votes. Examine 1,000 3-digit random numbers and count how many people
voted yes and how many voted no for the referendum. Whichever gets the majority of votes
wins that trial.
E) A trial is 10 votes. Examine 10 1-digit random numbers and count how many people voted
yes and how many voted no for the referendum. Whichever gets the majority of votes wins
that trial.
Solve the problem.
5) For each time up at bat, a baseball player has a 70% chance of making an out, a 10% chance of
getting walked, and a 20% chance of getting a hit. Estimate the probability that, out of 5 at-bats, the
player gets at least one hit. Use 30 simulation runs.
A) About 90%
B) 100%
C) About 30%
D) About 70%
E) About 20%
Provide an appropriate response.
6) You take a surprise quiz in your astronomy class with 12 multiple-choice questions. You estimated
that you would have about a 30% chance of getting any individual question correct. What are your
chances of getting them all right? Your simulation should use at least 20 runs.
A) 1728
B) 2.1074359
C) 3.6
D) 36
E) 0.00000053
4)
5)
6)
7) Five men and three women are waiting to be interviewed for jobs. If they are all selected in random
order, find the probability that the first person interviewed will be a woman. Your simulation
should use at least 10 runs.
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5
A)
B) 1
C)
D) 0
E)
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7)
8) The lengths of long distance phone calls placed on a cell phone can be described by a Normal
model with a mean of 7 minutes and a standard deviation of 2 minutes. If one call is randomly
selected from wireless phone company records, what is the probability that it will have lasted more
than 11 minutes?
A) 0.98
B) 0.023
C) 0.23
D) 0.977
E) 0.0977
8)
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9) A basketball player has a 70% free throw percentage. Which plan could be used to simulate the
number of free throws she will make in her next five free throw attempts?
I. Let 0,1 represent making the first shot, 2, 3 represent making the second shot,..., 8, 9 represent
making the fifth shot. Generate five random numbers 0-9, ignoring repeats.
II. Let 0, 1, 2 represent missing a shot and 3, 4,..., 9 represent making a shot. Generate five random
numbers 0-9 and count how many numbers are in 3-9.
III. Let 0, 1, 2 represent missing a shot and 3, 4,..., 9 represent making a shot. Generate five random
numbers 0-9 and count how many numbers are in 3-9, ignoring repeats.
A) I, II, and III
B) I only
C) II and III
D) III only
E) II only
Answer the question.
10) A magazine publisher is informed that 72% of subscribers last year did not renew their
subscriptions. This publisher wants to randomly survey 8% of these past subscribers asking the
reason why they did not renew their subscriptions. All of last year's subscribers who did not renew
their subscriptions are known collectively as what?
A) The bias
B) The sampling frame
C) A census
D) The population
E) The population parameter of interest
9)
10)
11) A magazine publisher mailed a survey to all of its subscribers asking if the magazine is helpful in
their daily lives. Of those who responded, 78% replied that the magazine was helpful. The
proportion that replied that the magazine is helpful is known as what?
A) The sampling method
B) The population parameter of interest
C) The population
D) The sampling frame
E) The bias
11)
12) A magazine publisher mails a survey to every subscriber asking about the timeliness of its
subscription service. The publisher finds that only 4% of the subscribers responded. This 4%
represents what?
A) The population parameter of interest
B) A census
C) The sample
D) The sampling method
E) The sampling frame
12)
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13) Mr. Smith works at a computer consultant company that provides technical information to
computer departments of various manufacturing companies. Mr. Smith is alarmed at the number
of spyware programs on the internet. Mr. Smith attempts to call every one of his clients only to ask
(yes or no) if they have had any known problems with spyware infections on their computers or
network. With regards to Mr. Smith's attempts to contact his clients for information about
infections, what is the population?
A) Only the number of computers infected with spyware that Mr. Smith is informed of
B) The total number of infections of spyware on Mr. Smith's clients' computers
C) Only the total number of clients that Mr. Smith successfully contacts
D) The total number of computers at all of Mr. Smith's clients
E) The total number of clients that Mr. Smith has
Provide an appropriate response.
14) An education researcher randomly selects 38 schools from one school district and interviews all the
teachers at each of the 38 schools. Identify the type of sampling used in this example.
A) Stratified sampling
B) Voluntary response sampling
C) Attempted census
D) Systematic sampling
E) Cluster sampling
13)
14)
15) At a college there are 120 freshmen, 90 sophomores, 110 juniors, and 80 seniors. A school
administrator selects a random sample of 12 of the freshmen, a random sample of 9 of the
sophomores, a random sample of 11 of the juniors, and a random sample of 8 of the seniors. She
then interviews all the students selected. Identify the type of sampling used in this example.
A) Stratified sampling
B) Voluntary response sampling
C) Attempted census
D) Systematic sampling
E) Cluster sampling
15)
16) At the local college a survey was being done on whether or not the students liked the cafeteria food.
The survey was located in the college newspaper and was to be filled out and sent to the editing
office. Identify the type of sampling used in this example.
A) Voluntary response sampling
B) Attempted census
C) Cluster sampling
D) Systematic sampling
E) Stratified sampling
16)
Identify the bias.
17) A cereal manufacturer randomly samples households across the country by telephone. The survey
asks the consumer to explain honestly in fifty words or less why he or she likes or dislikes its brand
of cereals. It is also stated that for those who participate in this telephone survey, a random
drawing will be held for an all-expense paid, two-week cruise. What, if any, will be the most
noticeable bias for this survey?
A) Voluntary response bias
B) Response bias
C) Nonresponse bias
D) Undercoverage of the population
E) There does not seem to be any bias.
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17)
18) A newspaper reporter decided to sample residents of all major metropolitan areas in the entire
country. This sampling asked if the residents liked living in their city, or are they considering
moving, and if so, where? Unfortunately, this survey went over budget and was stopped, and only
the east coast of the country was adequately interviewed. With regards to having this survey
labeled as representing the entire country, what, if any, will be the most noticeable bias for this
survey as it is now?
A) Response bias
B) Nonresponse bias
C) Undercoverage of the population
D) Voluntary response bias
E) There does not seem to be any bias.
Answer the question.
19) The human resources department of a large, well-known telecommunications firm is behind
schedule in writing a report about the job satisfaction of the company's employees. In an effort to
quickly sample some people, the HR manager orders his subordinates to give out paper surveys "to
anyone you see sitting at their desk", and the survey, completed or not, will be picked up in ten
minutes. Only the completed surveys will be used in the report. What sampling method best
describes what this HR manager is doing?
A) Attempted census
B) Cluster sampling
C) Voluntary response sampling
D) Convenience sampling
E) Stratified sampling
20) The human resources department of a large, well-known telecommunications firm would like to
know the job satisfaction of the employees working at its company. This HR department hires an
outside, impartial consultant to sample its management and its non-management employees
separately. For this scenario, what is the best sampling method to use?
A) Voluntary response sampling
B) Convenience sampling
C) Attempted census
D) Cluster sampling
E) Stratified sampling
Provide an appropriate response.
21) Suppose your local school district decides to randomly test high school students for attention deficit
disorder (ADD). There are three high schools in the district, each with grades 9-12. The school
board pools all of the students together and randomly samples 250 students. Is this a simple
random sample?
A) Yes, because the students were chosen at random.
B) Yes, because they could have chosen any 250 students from throughout the district.
C) No, because we can't guarantee that there are students from each grade in the sample.
D) No, because we can't guarantee that there are students from each school in the sample.
E) Yes, because each student is equally likely to be chosen.
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18)
19)
20)
21)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
22) Preservative Leather furniture used in public places can fade, crack, and deteriorate
rapidly. An airport manager wants to see if a leather preservative spray can make the
furniture look good longer. He buys eight new leather chairs and places them in the
waiting area, four near the south-facing windows and the other four set back from the
windows as shown. He assigned the chairs randomly to these spots. You must select 2
chairs from each side.
Use the random numbers given to decide which chairs to spray. Explain your method
clearly.
32219 00597 86374
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22)
Answer Key
Testname: CHAPTER 11-12 PRACTICE PROBLEMS
1) C
2) B
3) B
4) D
5) D
6) E
7) A
8) B
9) E
10) B
11) B
12) C
13) E
14) E
15) A
16) A
17) B
18) C
19) D
20) E
21) B
22) Use one digit at a time, ignoring 0, 9 and any repeated numbers. Choose two chairs from each row. (Example: 3, 2, 5,
and 7)
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