2023-2024 BOY AP STATISTICS
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School
University of Texas, Rio Grande Valley *
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Course
101
Subject
Statistics
Date
Jan 9, 2024
Type
Pages
11
Uploaded by MegaRavenMaster937
1.
For a middle school science project, Jalen measured the
of
vinegar products. The summary statistics for the
values of the
are shown in the following computer output.
Based on the
rule for outliers, which of the following statements is true?
(A)
The minimum
value of
is an outlier, and no other
value could be identified as an outlier.
(B)
The maximum
value of
is an outlier, and no other
value could be identified as an outlier.
(C)
The minimum
value of
is an outlier, and there could be other
values identified as outliers that
are below the first quartile, but no
value above the third quartile could be identified as an outlier.
(D)
The maximum
value of
is an outlier, and there could be other
values identified as outliers that
are above the third quartile, but no
value below the first quartile could be identified as an outlier.
(E)
There are no
values that could be identified as outliers.
2.
A veterinarian interested in pet nutrition surveyed owners of a single pet (either a dog, a cat, or a ferret) to ask
whether they feed their pet primarily dry pet food, canned pet food, or home-cooked food. The following segmented
bar graph shows the distribution of the three types of food for each type of pet.
Which of the following statements about pet owners in the survey is supported by the segmented bar graph?
(A)
Of all owners who fed their pet primarily dry pet food, the least number owned a cat.
(B)
More than half of the owners fed their pet primarily canned pet food.
(C)
Ninety percent of owners fed their pets primarily dry pet food.
(D)
The number of ferret owners who fed their pets primarily dry pet food was equal to the number of ferret
owners who fed their pets primarily home-cooked food.
(E)
A majority of dog owners fed their pets primarily canned pet food.
AP STATISTICS
Test Booklet
2023-2024 BOY ASSESSMENT AP STATISTICS
AP Statistics
Page 1 of 11
3.
The boxplot summarizes the reading rates, in words per minute (
), for
elementary school students.
Based on the boxplot, which of the following statements is
not true for the data set?
(A)
The data set contains two outliers.
(B)
The range is greater than
.
(C)
At least half of the students had reading rates of at most
.
(D)
More students had reading rates between
and
than between
and
.
(E)
More students had reading rates greater than
than had reading rates less than
.
4.
Caleb designed an experiment to investigate whether listening to music or chewing gum affects the time to complete
a level of a certain video game. Before the game started, each person in a sample was randomly assigned to either
listen to music or not listen to music. Each person was also randomly assigned to either chew gum or not chew gum.
At the end of the game, the time to complete the level for each person in the sample was recorded.
Which of the following correctly identifies the response variable of the experiment and whether the variable is
categorical or quantitative?
(A)
The response variable is the time to complete the level and the variable is quantitative.
(B)
The response variable is the time to complete the level and the variable is categorical.
(C)
The response variable is whether the person was assigned to listen to music or chew gum and the variable is
categorical.
(D)
The response variable is whether listening to music or chewing gum affects time to complete the level and
the variable is quantitative.
(E)
The response variable is whether listening to music or chewing gum affects time to complete the level and
the variable is categorical.
5.
Gina's doctor told her that the standardized score (
z
- score) for her systolic blood pressure, as compared to the blood
pressure of other women her age, is 1.50. Which of the following is the best interpretation of this standardized
score?
Test Booklet
2023-2024 BOY ASSESSMENT AP STATISTICS
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AP Statistics
(A)
Gina's systolic blood pressure is 150.
(B)
Gina's systolic blood pressure is 1.50 standard deviations above the average systolic blood pressure of
women her age.
(C)
Gina's systolic blood pressure is 1.50 above the average systolic blood pressure of women her age.
(D)
Gina's systolic blood pressure is 1.50 times the average systolic blood pressure for women her age.
(E)
Only 1.5% of women Gina's age have a higher systolic blood pressure than she does.
6.
Each accountant at a large accounting firm was classified according to accountant level (junior or senior) and
method of transportation to work (walk, bus, drive alone, or carpool). The responses of the
accountants at the
firm are summarized in the table.
Junior
Senior
Total
Walk
Bus
Drive alone
Carpool
Total
What proportion of the accountants at the firm are at the senior level and carpool to work?
(A)
(B)
(C)
(D)
(E)
7.
There is a linear relationship between the number of chirps made by the striped ground cricket and the air
temperature. A least squares fit of some data collected by a biologist gives the model
ŷ
= 25.2 + 3.3
x
9 <
x
< 25,
where
x
is the number of chirps per minute and
ŷ
is the estimated temperature in degrees Fahrenheit. What is the
estimated increase in temperature that corresponds to an increase of 5 chirps per minute?
(A)
3.3 ° F
(B)
16.5 ° F
(C)
25.2 ° F
(D)
28.5 ° F
(E)
41.7 ° F
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2023-2024 BOY ASSESSMENT AP STATISTICS
AP Statistics
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8.
A large online retailer places packed and ready-to-be-shipped boxes in a line on a conveyor belt. A sample of boxes
will be used to estimate the mean weight of boxes shipped on a given day. One proposed method for selecting the
sample is as follows:
•
Generate a random integer from
to
.
•
Use that integer to select an initial box from the first
boxes in line on the conveyor belt.
•
Select every
box that follows the initial box on the conveyor belt for the rest of the day.
Which of the following best describes the proposed sampling method?
(A)
Stratified random sample, stratified by time of day
(B)
Cluster sample, with times of day as clusters
(C)
Cluster sample, with box weights as clusters
(D)
Systematic random sample
(E)
Convenience sample
9.
The Physicians' Health Study, a large medical experiment involving 22,000 male physicians, attempted to determine
whether aspirin could help prevent heart attacks. In this study, one group of about 11,000 physicians took an aspirin
every other day, while a control group took a placebo. After several years, it was determined that the physicians in
the group that took aspirin had significantly fewer heart attacks than the physicians in the control group. Which of
the following statements explains why it would
not
be appropriate to say that everyone should take an aspirin every
other day?
I.
The study included only physicians, and different results may occur in individuals in other occupations.
II.
The study included only males and there may be different results for females.
III.
Although taking aspirin may be helpful in preventing heart attacks, it may be harmful to some other
aspects of health.
(A)
I only
(B)
II only
(C)
III only
(D)
II and III only
(E)
I, II, and III
10.
A paint manufacturer conducted an experiment to investigate whether a new formula produces paint that lasts
longer on the exterior of a building than paint produced using an older formula. A grid of
squares was drawn on
one side of an exterior wall of a building. The new formula was randomly assigned to
squares, and the older
formula was assigned to the remaining
squares. Each square was painted with the assigned formula. One year
later, each square was rated on how well the paint had lasted, using a numerical scale for which larger values
indicated longer-lasting paint.
Which of the following best describes the design of the experiment?
Test Booklet
2023-2024 BOY ASSESSMENT AP STATISTICS
Page 4 of 11
AP Statistics
(A)
A completely randomized design, because the two formulas were compared.
(B)
A completely randomized design, because each formula was randomly assigned to
squares.
(C)
A matched pairs design, because the same number of squares were assigned to each formula.
(D)
A matched pairs design, because two formulas were compared.
(E)
A randomized block design, because the wall was partitioned into
squares.
11.
Joe and Matthew plan to visit a bookstore. Based on their previous visits to this bookstore, the probability
distributions of the number of books they will buy are given below.
Assuming that Joe and Matthew make their decisions independently, what is the probability that they will purchase
no books on this visit to the bookstore?
(A)
0.0625
(B)
0.1250
(C)
0.1875
(D)
0.2500
(E)
0.7500
12.
The probability that a particular electrical component operates successfully is
. An electrical system consists of
three such components that operate independently. The system will function successfully if at least one of the three
components operates successfully.
What is the probability that the system will function successfully?
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2023-2024 BOY ASSESSMENT AP STATISTICS
AP Statistics
Page 5 of 11
(A)
(B)
(C)
(D)
(E)
13.
Luisa is a manager at a pet insurance company with many customers. Sixty percent of the company’s customers
filed claims in the past year. Luisa will randomly select
customers from all the company’s customers.
Assuming the customers selected are independent of each other, which of the following is closest to the probability
that more than
of the
customers sampled did
not file claims in the past year?
(A)
(B)
(C)
(D)
(E)
14.
A raffle for a charity fund-raiser is being planned. Each of
raffle tickets will be sold for
. The holders of
winning tickets will each win a prize. The table shows the prize values and the number of prizes for each value.
Prize Value
Number of Prizes
The random variable
represents the value of the prize won for a single ticket minus the cost of the ticket. What is
the expected value of
?
(A)
(B)
(C)
(D)
(E)
15.
The distribution of the length of employment for workers at a factory is moderately skewed to the right, with mean
years and standard deviation
years. The factory manager will select a random sample of
employees to
survey.
Which of the following best describes the sampling distribution of the sample means of length of employment for
samples of size
?
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AP Statistics
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(A)
Moderately skewed to the right, with mean
years and standard deviation
years
(B)
Moderately skewed to the right, with mean
years and standard deviation less than
years
(C)
Moderately skewed to the right, with mean less than
years and standard deviation less than
years
(D)
Approximately normal, with mean less than
years and standard deviation
years
(E)
Approximately normal, with mean
years and standard deviation less than
years
16.
For a particular video game, Ariana’s mean number of points earned per game is
, and the standard deviation is
. Suppose that she plays
games in one evening, and her goal is to obtain a mean score of at least
for the
games.
How many standard deviations above
is her goal?
(A)
(B)
(C)
(D)
(E)
17.
Researchers from a national research organization investigated which platform (television, social media, newspaper,
Internet, etc.) United States adults prefer to use to obtain their news. In
, of the
randomly selected United
States adults that were surveyed,
selected television as their preferred platform. In
, of the
randomly
selected United States adults that were surveyed,
selected television as their preferred platform. The conditions
for inference are met. A
percent confidence interval for the difference in the population proportions of United
States adults that use television as their preferred platform for obtaining news between
and
minus
was found to be
.
Based on the interval, is it reasonable for the researchers to claim that there is convincing statistical evidence that
the population proportion of United States adults that use television as their preferred method to obtain news
differed between
and
?
(A)
No, because the researchers should have used a greater confidence level to obtain convincing evidence.
(B)
No, because zero is included in the interval there is not convincing statistical evidence that the population
proportion differed between
and
.
(C)
Yes, because zero is included in the interval there is convincing statistical evidence that the population
proportion differed between
and
.
(D)
Yes, because most of the interval is positive there is convincing statistical evidence that the population
proportion increased from
to
.
(E)
Yes, because
is greater than
there is convincing statistical evidence that the population proportion
decreased from
to
.
Test Booklet
2023-2024 BOY ASSESSMENT AP STATISTICS
AP Statistics
Page 7 of 11
18.
A study reported that
percent of cars registered in
had a manual transmission. An automotive researcher
collected data on cars registered in
to investigate whether the proportion of registered cars with a manual
transmission is less than
. The researcher took a random sample of
cars registered in
and found
of the cars had a manual transmission.
After ensuring the conditions for inference were met, the researcher conducted an appropriate hypothesis test and
calculated a
-value of
. At the
percent level of significance, which of the following conclusions should be
made?
(A)
The null hypothesis should be rejected. There is significant evidence that the population proportion of
registered cars with a manual transmission in
is less than
.
(B)
The null hypothesis should be rejected. There is not significant evidence that the population proportion of
registered cars with a manual transmission in
is less than
.
(C)
The null hypothesis should not be rejected. There is significant evidence that the population proportion of
registered cars with a manual transmission in
is not less than
.
(D)
The null hypothesis should not be rejected. There is significant evidence that the population proportion of
registered cars with a manual transmission in
is equal to
.
(E)
The null hypothesis should not be rejected. There is not significant evidence that the population proportion of
registered cars with a manual transmission in
is less than
.
19.
A survey was conducted to determine what percentage of college seniors would have chosen to attend a different
college if they had known then what they know now. In a random sample of 100 seniors, 34 percent indicated that
they would have attended a different college. A 90 percent confidence interval for the percentage of all seniors who
would have attended a different college is
(A)
24.7% to 43.3%
(B)
25.8% to 42.2%
(C)
26.2% to 41.8%
(D)
30.6% to 37.4%
(E)
31.2% to 36.8%
20.
A random sample of the costs of repair jobs at a large muffler repair shop produces a mean of $127.95. and a
standard deviation of $24.03. If the size of this sample is 40, which of the following is an approximate 90 percent
confidence interval for the average cost of a repair at this repair shop?
(A)
$127.95 ± $4.87
(B)
$127.95 ± $6.25
(C)
$127.95 ± $7.45
(D)
$127.95 ± $30.81
(E)
$127.95 ± $39.53
Test Booklet
2023-2024 BOY ASSESSMENT AP STATISTICS
Page 8 of 11
AP Statistics
21.
An owner of a novelty business operates both an online store and a retail store. The owner took a random sample of
sales from each store during the past year and recorded the purchase amount of each sale. Summary statistics are
shown in the following table.
Online
Retail
Mean
Standard deviation
Assuming the conditions for inference were met, the owner calculated a
percent confidence interval for the
difference in mean purchase amounts (online minus retail) as
.
Which of the following is an appropriate interpretation of the
percent confidence interval?
(A)
We are
confident that the purchase amount from a randomly selected online store sale will be between
and
greater than the purchase amount from a randomly selected retail store sale.
(B)
We are
confident that the sample mean purchase amount from the online store is between
and
greater than the sample mean purchase amount from the retail store for the past year.
(C)
We are
confident that the population mean purchase amount from the online store is between
and
greater than the population mean purchase amount from the retail store for the past year.
(D)
We are
confident that the population mean purchase amount for the past year from both stores
combined is between
and
.
(E)
We are
confident that if new samples of the same size were taken from each store, the sample mean
purchase amount from the online store would be between
and
greater than the sample mean
purchase amount from the retail store.
22.
An automobile manufacturer claims that the average gas mileage of a new model is 35 miles per gallon (mpg). A
consumer group is skeptical of this claim and thinks the manufacturer may be overstating the average gas mileage.
If µ represents the true average gas mileage for this new model, which of the following gives the null and
alternative hypotheses that the consumer group should test?
(A)
H
0
: µ < 35 mpg
H
a
: µ
≥
35 mpg
(B)
H
0
: µ
≤
35 mpg
H
a
: µ > 35 mpg
(C)
H
0
: µ = 35 mpg
H
a
: µ > 35 mpg
(D)
H
0
: µ = 35 mpg
H
a
: µ < 35 mpg
(E)
H
0
: µ = 35 mpg
H
a
: µ
≠
35 mpg
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23.
The process of producing pain-reliever tablets yields tablets with varying amounts of the active ingredient. It is
claimed that the average amount of active ingredient per tablet is at least 200 milligrams. The Consumer Watchdog
Bureau tests a random sample of 70 tablets. The mean content of the active ingredient for this sample is 194.3
milligrams, while the standard deviation is 21 milligrams. What is the approximate
p
-value for the appropriate test?
(A)
0.012
(B)
0.024
(C)
0.050
(D)
0.100
(E)
0.488
24.
A biomedical scientist from a major research university suggested that students should
always ask for help when it is needed. A science teacher decided to investigate whether
some students are more likely to ask for help than others. The teacher randomly selected
students from a Biology
course and gave them directions for a short lab
procedure that were purposefully unclear. For each student, the teacher recorded whether
the student asked for clarification and the grade the student earned, A, B, or C, in the
preceding Biology
course. Results are listed in the following table.
Asked
for
Clarification
Did Not Ask
for
Clarification
Total
Earned an
in Biology I
Earned a
in Biology I
Earned a
in Biology I
Total
The value of the test statistic for the appropriate chi-square test is approximately
. Assume the conditions for
inference were met. Do the sample data provide convincing statistical evidence of an association between grade in the
preceding Biology
course and whether a student asks for clarification at the
percent level of significance?
(A)
Yes, because the
-value is greater than
.
(B)
Yes, because the
-value is less than
.
(C)
No, because the
-value is greater than
.
(D)
No, because the
-value is less than
.
(E)
No, because the test statistic is greater than
.
25.
A food scientist conducting a study to investigate the nutritional habits of teenagers in a city selected a random
sample of
teenagers in the city. Each of the
teenagers was asked to complete a survey with questions about
age and the number of ounces of carbonated drinks consumed on the previous day.
Assuming the conditions for inference have been met, which of the following is an appropriate test and alternative
hypothesis to use to investigate whether the average number of ounces of carbonated drinks consumed in a day
increases with age for teenagers in the city?
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2023-2024 BOY ASSESSMENT AP STATISTICS
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AP Statistics
(A)
A
-test for the slope of a regression model with alternative hypothesis:
(B)
A
-test for the slope of a regression model with alternative hypothesis:
(C)
A
-test for the slope of a regression model with alternative hypothesis:
(D)
A one-sample
-test for a population proportion with alternative hypothesis:
(E)
A two-sample
-test for a difference of two population means with alternative hypothesis:
Test Booklet
2023-2024 BOY ASSESSMENT AP STATISTICS
AP Statistics
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