Name______________________________
AP STATISTICS
FINAL EXAM REVIEW
Mr. Holloman has played 2508 games of Demon Solitaire, and won 296 of them. Assume that
these games are a random sample of all games that he will ever play.
Which of the following is the 95% confidence interval for the true proportion of games that he will
win?
1.
A
0.118  0.0064
B
0.118  0.0106
C
0.118  0.0126
D
0.118  0.0196
An animal rights group believes that less than 15% of households have ferrets as pets. A random
sample of 50 households finds 13 that have ferrets.
Can the group test their hypothesis at the 5% significance level?
2.
A
No, because np  7.5  10
C
No, because they do not know if the
population variable is normally
distributed
B
Yes, because npˆ  13  10
D
Yes, because a sample size of 50 is
sufficiently large that knowing the
distribution of the population variable
isn’t important
Current estimates indicate that about 86% of US residents regularly wear seatbelts. A civil rights
group wants to estimate the proportion of drivers in SC that wear their seatbelts with a margin of
error of no more than 2% and 95% confidence.
Which of these is the smallest sample size that will satisfy the group’s requirements?
3.
A
12
B
850
C
1200
D
2500
4.
A study was conducted to determine if there was a relationship between the number of hours of
study and a student’s test score on a certain test. The data appeared linear, so a least squares
regression line was constructed.
score  34.62  1.35  hours 
Which of the following is a correct interpretation of the slope of this line?
A
Every extra hour of study will result in
an average test score increase of 1.35
points
B
The ratio of points to hours will be, on
average, 1.35
C
Every extra hour of study will result in
a test score increase of 1.35 points
D
For every extra hour of study, an
average increase of 1.35 points is
predicted on the test score
HOLLOMAN'S AP STATISTICS
Name______________________________
Coefficients:
(Intercept)
Calories
5.
Estimate
-18.14009
0.16746
Std. Error
8.80088
0.04935
t value
-2.061
3.394
Pr(>|t|)
0.06935
0.00795
Data were collected from popular cereals in an attempt to predict sugar content (grams per serving)
from calories (per serving). Computer output from a linear regression is shown above.
Which of the following is the equation of the line that predicts sugar content from caloric content?
A
sugar  0.049  0.167  calories 
B
sugar  18.14  0.167  calories 
C
sugar  18.14  8.8  calories 
D
sugar  8.8  0.049  calories 
6.
A test of H 0 :   0 vs. H a :   0 was conducted on a sample of 13 data. The resulting t-statistic
was 1.935.
What is the p-value of this test?
A
0.038
B
0.040
C
0.077
D
0.080
7.
At five different major software companies, a random sample of employees were asked if they
typically brought their lunch to work from home. The researchers want to know if there is any
relationship between the company and the employees’ lunch habits.
What kind of test could help to answer the researchers’ question?
A
Chi Square Test for Goodness of Fit
B
Chi Square Test for Homogeneity of
Proportions
C
Chi Square Test for Independence of
Variables
D
A t-test for difference in proportions
8.
Which of the following is NOT an assumption for using a Chi-Square Test of Significance?
A
The population must be distributed
normally with respect to the variable(s)
being studied
C
None of the expected cell counts can
be less than 1
9.
B
Less than 20% of the expected cell
counts must be less than 5
D
The data must be the result of an SRS
or randomized experiment, or an entire
population
As the sample size increases, the sampling distribution of p̂ will…
A
become more normal in shape
B
have a smaller spread
C
(both A and B)
D
(neither A nor B)
HOLLOMAN'S AP STATISTICS
Name______________________________
10.
A test of H 0 :   500 vs. H a :   500 is being planned. In order to increase the power of the test
against   510 , the researchers should…
A
decrease the level of significance
B
increase the sample size
C
(both A and B)
D
(neither A nor B)
11.
If I want to estimate  with 95% confidence and a sample size of 15, then the
interval should be constructed using t *  …
A
1.75
B
1.76
C
2.13
D
2.14
12.
Bob is testing his new method of generating random digits and wants to estimate the mean of his
method to within 0.1 with 99% confidence. Bob knows that the standard deviation of his digits
ought to be 2.872.
Which of these is the smallest sample size that will satisfy Bob?
A
4500
B
5000
C
5500
D
6000
13. An insurance company collected data concerning fatal vehicle crashes—in particular, the actuaries
measured the number of vehicles involved in the crash, and the type of vehicle in which the death occurred. A
random sample of fatal crashes was selected, and the following data were collected:
Car
Truck SUV
Observed
One Vehicle
1237 547
479
Multiple Vehicles
1453 307
247
Is there evidence that the type of vehicle is related to the number of vehicles involved in the crash? Support
your conclusion with appropriate statistical evidence.
HOLLOMAN'S AP STATISTICS
Name______________________________
14. A humane society claims that less than 35% of U.S. households own a dog. A local group randomly surveys
400 households and finds that 156 include a dog.
(a) Construct a 95% confidence interval for the actual proportion of local households that own a dog. Interpret
this interval for someone who has limited knowledge of statistics.
(b) A government agency want to conduct a follow up study and construct a new interval. Determine the
minimum sample size that will guarantee that the margin of error will be no more than 4%.
– Multiple Choice Practice 1 (S)
1. If a student rolls three dice, what is the probability that exactly two of them will show an even number?
a. 3/8
b. 1/2
c. 5/8
d. 2/3
e. 2
2. The probability that a certain movie is sold out for an evening performance is 0.30. Bill wants to take Gina
to the movies this weekend. What is the probability that the movie is sold out on both Friday and Saturday
nights?
a. 0.09
b. 0.21
c. 0.30
d. 0.49
e. 0.60
3. An alarm in a museum has a main and a backup power supply that are independent of each other. The
probability that the main power system will fail is 0.04 and the probability that the backup system will fail is
0.06.
i.
What is the probability that both systems will fail?
a. 0.0024
b. 0.010
c. 0.020
d. 0.0376
e. 0.10
HOLLOMAN'S AP STATISTICS
Name______________________________
ii.
What is the probability that at least one system works?
a. 0.0024
b. 0.10
c. 0.90
d. 0.9024
e. 0.9976
4. The probability that a call to 911 is an emergency is 0.40. What is the probability that of two successive
calls, only one will be an emergency?
a. 0.16
b. 0.24
c. 0.48
d. 0.84
e. 1.00
– Multiple Choice Practice 2 (S)
1.
a.
b.
c.
d.
e.
Northwestern University has approximately 5000 students. UCLA has about 20,000 students. A researcher
wants to take a simple random sample of about 5% of the student body at both schools. Which of the following
statements is correct?
the sampling variability is the same for both schools
the sampling variability for UCLA is higher than that of Northwestern
The sampling variability for UCLA is lower than that of Northwestern
No conclusion can be stated without knowing the results of the study
The results from both schools ought to be within 5% of each other
2.
In a certain town in the northwest during July, the probability that it rains on a given day is 0.24. The probability
that the temperature is above 90 degrees is 0.42. The probability that it rains and the temperature is above 90
degrees is 0.18.
i.
Given that the temperature is greater than 90 degrees, what is the probability that it is raining?
a. 0.18
b. 0.24
c. 0.43
d. 0.52
e. 0.75
ii.
What is the probability that the temperature is greater than 90 degrees, given that it is raining?
a. 0.18
b. 0.24
c. 0.43
d. 0.52
e. 0.75
3. Which of the following statements must be true?
I.
If two events are dependent, then the probability can exceed 1.
II.
The probability of success is always one minus the probability of failure.
III.
If two events occur simultaneously, the combined probability is the difference of the individual probabilities.
a. I only
b. II only
c. III only
d. I and II
e. I and III
HOLLOMAN'S AP STATISTICS
Name______________________________
4. Ball bearings produced at a certain factory have a mean diameter of 6.55 mm with a standard deviation
of 0.27mm. If the distribution of diameters is known to be normal, what is the probability that the
diameter of a randomly selected ball bearing is between 6.31 mm and 6.62 mm?
a. 0.189
b. 0.259
c. 0.415
d. 0.437
e. 0.621
Practice 3 (S)
1. Using a larger sample will make
(a) a larger confidence interval
(b) a smaller confidence interval
(c) the same interval as before
(d) a larger or smaller interval depending on n
(e) cannot tell from the given information
2. If the standard deviation is larger, the confidence interval
(a) will be larger
(b) will be smaller
(c) will stay the same
(d) will change if the standard deviation is substantially larger
(e) cannot tell from the given information
3. In order to increase the margin of error by a factor of 3, the sample size must be
(a) increased by a factor of 3
(b) decreased by a factor of 3
(c) increased by a factor of 9
(d) decreased by a factor of 9
(e) cannot tell from the given information
4. If the mean of a certain sample is 8, calculate the 95% confidence interval for a sample size of 20.
(a) (0.1853, 0.6147)
(b) (7.825, 8.175)
(c) (7.781, 8.219)
(d) (7.816, 8.184)
(e) none of the above
5. A sample of 80 students is randomly selected. Their average score on the SAT Math is 580. If the standard
deviation for all the SAT scores is 100 and the scores are normally distributed, what is the 95% confidence
interval for this sample?
(a) (478.09, 521.91)
(b) (481.61, 518.39)
(c) (561.61, 598.39)
(d) (558.09, 601.91)
(e) (549.01, 610.99)
HOLLOMAN'S AP STATISTICS
Name______________________________
Multiple Choice Practice 4 (S)
1.Two different confidence intervals taken from the same sample are (9.14, 15.34) and (7.43, 17.05). One is based on a
95% confidence level and the other is based on a 99% confidence level. What is the sample mean and which is the 95%
confidence interval?
(a) x = 12.24; (9.14, 15.34) is the 95% confidence interval
(b) x = 12.24; (7.43, 17.05) is the 95% confidence interval
(c) x = 12.24, but the interval cannot be determined without knowing the sample size
(d) x = 12.24, but the interval cannot be determined without knowing the standard deviation
(e) x = 12.24, but the interval cannot be determined without knowing the critical value for z *
2.
(a)
(b)
(c)
(d)
(e)
3.
(a)
(b)
(c)
(d)
(e)
In determining a confidence interval, which of the following is false?
increasing the sample size and decreasing the standard deviation will always shrink the confidence interval
decreasing the sample size and increasing the standard deviation will always lengthen the confidence interval
increasing the sample size and increasing the standard deviation will always shrink the confidence interval
increasing the sample size and decreasing the level of confidence will always shrink the confidence interval
increasing the standard deviation and increasing the level of confidence will always lengthen the confidence
interval
A behavioral psychologist is trying to determine the length of the average vacation stay at a resort. She finds that
a random sample of 48 vacations can determine the average length to within a day at a 90% confidence level. If
she wants to improve the margin of error to within a half a day, how many vacations need to be examined?
24
48
96
132
192
4. A psychological test is used to measure sociological conformity. The mean test score for all female students
nationally is 132. A large university decided to estimate the mean score for females on its campus by testing a
random sample of n females and constructing a confidence interval based on their scores. Which of the following
statements about the confidence interval must be true?
I.
The resulting interval will contain 132
II.
The 95% confidence interval for n = 75 will generally be shorter than the 95% confidence interval for n =
40.
III.
For n = 100, the 95% confidence interval will be longer than the 90% confidence interval.
(a) I only
(b) II only
(c) III only
(d) II and III
(e) I and III
5. In general, how many more subjects are required to establish a 95% confidence interval instead of a 90%
confidence interval?
(a) (1.96/1.645) times as many
(b) (1.96 / 1.645) 2 times as many
(c) (1.645/1.96) times as many
(d) (1.645 / 1.96) 2 times as many
(e) (95 / 90) 2 times as many
HOLLOMAN'S AP STATISTICS
Name______________________________
– Multiple Choice Practice 5 (S)
1.
2.
The number of spots on a toy leopard is normally distributed with the mean of 10 and standard deviation of 2. A
sample of 5 toy leopards is chosen and the mean for the sample is 12. The toy manufacturer wants to know if the
mean number of spots on the toy leopard is different from the previously given number.
i.
State the alternative hypothesis for the problem above.
(a) the average number of spots is more than 10
(b) the average number of spots is less than 12
(c) the average number of spots is equal to 10
(d) the average number of spots is not equal to 10
(e) the average number of spots is equal to 12
ii.
State the p-value for the problem above.
(a) .0126
(b) .0224
(c) .0253
(d) .1587
(e) .3173
We may not use the Z-Test when
I.
the sample is too small
II.
we do not know the population standard deviation
III.
the data comes from a non-normal population
(a)
(b)
(c)
(d)
(e)
I only
II only
III only
I and II
II and III
3. An entrance exam is administered to all the students entering a calculus class at a local high school. Out of 55
people who are planning to take calculus, 40 got a passing grade. Which of these are true?
I.
more than 70 percent of all the students taking Calculus passed the entrance exam
II.
55 represents the population
III.
55 represents the sample
(a)
(b)
(c)
(d)
(e)
I
II
III
I and II
I and III
4. Which of the following measure the probability of rejecting the null hypothesis when in fact it is true?
(a) 
(b) 1 - 
(c) 
(d) 1 - 
(e) p – value
HOLLOMAN'S AP STATISTICS
Name______________________________
Multiple Choice Practice 6 (S)
1. Which of the following statements is correct?
I.
A hypothesis should always be stated in terms of the sample statistic.
II.
If the sample size is greater than 1060, the value of the parameter will be correct within 0.01%
III.
A small p-value indicates strong evidence against the null hypothesis.
(a) I only
(b) II only
(c) III only
(d) I and II only
(e) II and III only
2.
i.
ii.
Suppose that a previous study found that the average starting salary for a public school teacher in California
is $28,000 with a standard deviation of $7,000. A random sample of 100 teachers has an average salary of
$26,500. Assume the salaries are normally distributed.
What is the p-value for the test used to check whether the real average teacher’s salary is indeed as was
previously stated?
(a) 0.162
(b) 0.593
(c) 0.041
(d) 0.032
(e) 0.000
Is there enough evidence that the average teacher’s salary is not as was previously stated?
(a) the salary is not as previously stated, p-value is very low
(b) the salary is not as previously stated, p-value is very high
(c) the salary is as previously stated, p-value is very low
(d) the salary is as previously stated, p-value is very high
(e) the problem cannot be solved because the p-value is zero.
3. Which of the following measures the probability of failing to reject the null hypothesis when in fact it is
false?
(a) 
(b) 1 - 
(c) 
(d) 1 - 
(e) p-value
4. A sociologist is curious to see if the mean income  of senior citizens has changed since 1975. Suppose the
mean income was $7, 568. The sociologist plans to sample senior citizens to determine their income (in
1975 dollars). What is the alternative hypothesis she needs to test?
(a) H a :  = $7568
(b) H a :   $7568
(c) H a :  < $7568
(d) H a :  > $7568
(e) H a :   $7568
HOLLOMAN'S AP STATISTICS
Name______________________________
– Multiple Choice Practice 7 (S)
1. A random sample of 10 cars traveling in a hospital zone showed a mean speed of 23.99 mph with a standard
deviation of 0.1 mph. What is the 90% confidence interval for the mean speed of all cars in the zone?
(a) 23.99  0.006
(b) 23.99  0.041
(c) 23.99  0.058
(d) 23.99  0.081
(e) 23.99  0.620
2. A study of 130 people found that the mean commute time for people who work in Washington, D. C. is 28
minutes with a variance of 39 minutes. What is the 95% confidence interval for the true mean commute
time for all workers?
(a) (21.3 , 34.7 minutes)
(b) (22.4 , 33.6 minutes)
(c) (26.9 , 29.1 minutes)
(d) (27.1 , 28.9 minutes)
(e) (27.6 , 28.4 minutes)
3. A researcher found that, in a sample of 63 people in Minneapolis, the mean time required to eat an ice cream
cone was 12.3 minutes with a standard deviation of 6.2 minutes. What is the margin of error for a 90%
confidence interval?
(a)  1.31 minutes
(b)  1.28 minutes
(c)  2.91 minutes
(d)  3.46 minutes
(e)  5.58 minutes
4. A tobacco company claims that the typical adult smoker smokes 10 cigarettes per day. Health specialists
believe this figure is too low. They conduct a study of 53 randomly chosen smokers and find the mean of
this group is 13.7 cigarettes per day with a standard deviation of 2.3. What is the value of the test statistic
associated with this test?
(a) -11.76
(b) 0
(c) 5.09
(d) 11.71
(e) 17.76
5. Drive shafts were measured in a sample of 50 motors. The sample mean diameter of the drive shafts was
found to be 9.95 mm. The specifications for this part require a 10.00 mm diameter. From previous tests it
is known that the standard deviation is 0.15 mm. At the 5% level of significance, should this batch be
accepted?
(a) yes, because z = -2.357 and the critical z value = -1.960
(b) yes, because z = -2.357 and the critical z value = -1.645
(c) no, because z = -1.562 and the critical z value = -1.960
(d) no, because z = -1.562 and the critical z value = -1.645
(e) yes, because z = -4.679 and the critical z value = -1.645
HOLLOMAN'S AP STATISTICS
Name______________________________
– Multiple Choice Practice 8 (S)
1. At Liberty HS a random sample of 20 boys and 25 girls is taken to determine if SAT Math scores differ for the two
groups. The 95% confidence interval for the differences in the mean scores is (- 20.57, 35.3). What can you conclude
about the scores for boys and girls at Liberty HS?
(a) Girls do better on the SAT Math
(b) Boys do better on the SAT Math
(c) There is no difference in the scores
(d) Cannot make a conclusion because the mean scores are not given
(e) Cannot make a conclusion because the samples are different sizes
2. Classical music is piped throughout a jail with 150 inmates. Over the next month the number of serious fights
between inmates drops by 5.27 fights per week with a standard deviation of 2.3 fights per week. What is the 95%
confidence interval for the drop in the number of fights per week?
(a) (4.42, 6.12)
(b) (4.56, 5.98)
(c) (4.90, 5.64)
(d) (4.96, 5.58)
(e) (5.03, 5.51)
3. A researcher wants to compare the time spent on homework by students who are on the honor roll with the time spent
by students not on the honor roll. An SRS of 60 students on the honor roll found the sample mean to be 6 hours per
week with a sample standard deviation of 2.7 hours. An SRS of 40 students not on the honor roll found the sample
mean to be 3.5 hours with a sample standard deviation of 1.6 hours. What is the 95% confidence interval for the
difference in study time between the two groups?
(a) (1.52, 3.48)
(b) (1.65, 3.35)
(c) (1.78, 3.22)
(d) (2.99, 4.01)
(e) (5.30, 6.70)
4. Two schools are tested for the basket weaving skills taught in a folk arts class. At a Tennessee school 24 students
averaged 11.3 baskets in 240 hours with a standard deviation of 2.1 baskets. A New York school had its 27 students
average 6 baskets in 240 hours with a standard deviation of 4 baskets. Are the two schools’ averages significantly
different?
(a) no, the t-score is 6.02
(b) yes, the t-score is 6.02
(c) no, the t-score is 2.19
(d) yes, the t-score is 2.19
(e) yes, the t-score is 11.3
5. Suppose that two populations are sampled independently. The first sample was of size 6 with a sample variance of
18.2. The second sample was of size 11 with a variance of 20.6. What is the standard error needed for a confidence
interval or a significance test?
(a) 1.10
(b) 1.86
(c) 9.68
(d) 2.10
(e) 2.21
HOLLOMAN'S AP STATISTICS
Name______________________________
– Multiple Choice Practice 9 (S)
1. A company officer complains that the average long-distance telephone call charged to a certain department is
$5.00. Wanting to defend the department, a clerk gathers data on a random sample of 10 calls. The mean is
$3.95 with a standard deviation of $1.07. In which of the following intervals is the P-value located?
(a) P < .005
(b) .005 < P < .01
(c) .01 < P < .05
(d) .05 < P < .10
(e) .10 < P
2. Does socioeconomic status relate to age at time of HIV infection? For 274 high income HIV – positive
individuals, the average age of infection was 33.0 years with a standard deviation of 6.3, while for 90 lowincome individuals the average age was 28.6 years with a standard deviation of 6.3. Find a 90% confidence
interval for the difference in ages of high- and low-income people at the time of HIV infection.
(a) 4.4  .963
(b) 4.4  1.27
(c) 4.4  2.51
(d) 30.8  2.51
(e) 30.8  6.3
3. To conduct a survey of which long distance carriers are used in a particular locality, a researcher opens a phone
book to a random page, closes his eyes, puts his finger down on the page, and then calls the next 75 names.
Which of the following are true statements?
I.
The survey design incorporates chance.
II.
The procedure results in a simple random sample.
III.
The procedure could easily result in selection bias.
(a) I and II
(b) I and III
(c) II and III
(d) All are true
(e) None are true
4. Under what conditions would it be meaningful to construct a confidence interval when the data consist of the
entire population?
(a) If the population size is small ( n < 30).
(b) I the population size is large ( n  30).
(c) If a higher level of confidence is desired.
(d) If the population is truly random
(e) Never
5. In a test for acid rain, 49 water samples showed a mean pH level of 4.4 with a population standard deviation of
.35. Find a 90% confidence interval for the mean pH level.
(a) 4.4  .01175
(b) 4.4  .082
(c) 4.4  .315
(d) 4.4  .35
(e) 4.4  .576
HOLLOMAN'S AP STATISTICS
Name______________________________
– Multiple Choice Practice 10 (S)
1. A manufacturer claims that a particular automobile model will get 50 miles per gallon on the highway. The
researchers at a consumer-oriented magazine believe that this claim is high and plan a test with a sample of 30 cars.
Assuming the standard deviation between individual cars is 2.3 miles per gallon, what should the researchers conclude
if the sample mean is 49 miles per gallon?
(a) The manufacturer’s claim should not be rejected because the p-value is too small.
(b) The p-value is sufficient evidence to prove that the manufacturer's claim is false.
(c) The manufacturer’s claim should be rejected because the sample mean is less than the claimed mean.
(d) The p-value is sufficient evidence to reject the manufacturer’s claim.
(e) There is not sufficient evidence to reject the manufacturer’s claim; 49 miles per gallon is too close to the claimed
50 miles per gallon.
2. A geologist claims that a particular rock formation will yield a mean amount of more than the claimed 20 pounds of
chemical per ton of excavation. He plans a test on a random sample of 50 tons and finds the sample mean to be 22
pounds. Suppose the standard deviation between tons is 5.8 pounds. What is the probability that the sample results
were obtained if the true mean is 20 pounds of chemical?
(a) .9927
(b) .5073
(c) .8200
(d) .4927
(e) .0073
3. A sample of 57 laboratory rabbits fed a special carrot juice diet for a month showed an average weight loss of 242
grams. The standard deviation of weight loss in rabbits is 39 grams. What is a 95% confidence interval for the
average weight loss?
(a) 242  76.4
(b) 242  10.1
(c) 242  1.3
(d) 242  5.2
(e) 242  8.5
4. A confidence interval is determined from the monthly grocery expenditures in a random sample of n families. Which
of the following will result in a smaller margin of error?
I.
A smaller confidence level
II.
A smaller standard deviation
III.
A smaller sample size
(a) I and II
(b) II and III
(c) II only
(d) I, II and III
(e) I, and III
5. Two confidence intervals from the same sample are (16.4, 29.8) and (14.3, 31.9). What is the sample mean, and if
one interval is at the 95% level while the other is at the 99% level, which is which?
(a) It is impossible to completely answer this question without knowing the sample size.
(b) It is impossible to completely answer this question without knowing both the sample size and standard deviation.
(c) It is impossible to completely answer this question without knowing the standard deviation.
(d) x = 23.1; (16.4, 29.8) is the 99% interval.
(e) x = 23.1; (16.4, 29.8) is the 95% interval.
HOLLOMAN'S AP STATISTICS
Name______________________________
– Multiple Choice Practice 11 (S)
1.
(a)
(b)
(c)
(d)
(e)
In a simple random survey of 89 teachers of high school AP Statistics, 73 said that it was the most satisfying,
most enjoyable course they had ever taught. Establish a 99% confidence interval for the proportion of all high
school AP Statistics teachers who feel this way.
.820  .004
.820  .041
.820  .084
.820  .105
.820  .223
2. In a sample of 39 of his decisions, one judge handed down sentences averaging 4.5 years with a standard
deviation of 1.2 years, while in a sample of 46 of her decisions a second judge handed down sentences averaging
5.3 years with a standard deviation of 1.1 years. What is a 95% confidence interval of the difference in average
sentences handed down by the two judges?
(a) -0.8  0.063
(b) -0.8  0.251
(c) -0.8  0.414
(d) -0.8  0.493
(e) -0.8  0.501
3.
I.
II.
III.
(a)
(b)
(c)
(d)
(e)
Given that the sample has a standard deviation of zero, which of the following statements are true?
The standard deviation of the population is also zero.
The sample mean and sample median are equal.
The sample may have outliers; however, the distribution must be symmetric
I only
II only
III only
All are true.
None is true.
4. The label on a package of cords claims that the breaking strength of a cord is 3.5 pounds, but a hardware store
owner believes the real value is less. She plans to test 36 such cords. If their mean breaking strength is 3.25
pounds, and the standard deviation for the breaking strengths of all such cords is .9 pounds, what is the p-value
she would obtain in a significance test?
(a) .05
(b) .10
(c) .15
(d) .45
(e) .94
5. A sample of 57 laboratory rabbits fed a special carrot juice diet for a month showed an average weight loss of 242
grams with a standard deviation of 39 grams. What is a 95% confidence interval estimate for the average weight
loss?
(a) 242  1.3
(b) 242  5.2
(c) 242  8.5
(d) 242  10.3
(e) 242  76.4
HOLLOMAN'S AP STATISTICS
Name______________________________
– Multiple Choice Practice 12 (S)
1. A recent USA Today survey of 400 people reported that 80% of American adults believe that teachers should be
required to submit to random drug testing as a condition of employment. What is the 90% confidence interval?
(a) 80%  1.8%
(b) 80%  1.9%
(c) 80%  2.6%
(d) 80%  3.3%
(e) 80%  3.9%
2. An inspector inspects a large shipment of computer chips to determine the proportion p of chips in the shipment with
major defects. She selects an SRS of 50 chips from the 2000 chips in the shipment. Only 2 of the chips sampled were
found to have major defects. Using this data, suppose you wanted to test the following hypotheses. H o : p = 0.10 and
H a : p  0.10. Which of the following assumptions for inference about a proportion using a hypothesis test is
violated?
(a) the data are an SRS from the population of interest
(b) the population is at least 10 times as large as the sample
(c) n is so large that both n p o and n(1 - p o ) are 10 or more
(d) the standard deviation can be computed
(e) there appear to be no violations
3. Suppose (25, 30) is a 90% confidence interval for a population mean  . Which of the following are true?
I.
There is a .90 probability that  is between 25 and 30.
II.
If 100 random samples of the given size are picked and a 90% confidence interval is calculated from each,
then  will be in 90 of the resulting intervals.
III.
If 90% confidence intervals are calculated from all possible samples of the given size,  will be in 90% of
these intervals.
(a) I and II
(b) I and III
(c) II and III
(d) I, II, and III
(e) None gives the complete set of true responses.
4. A 1995 poll asked respondents what percentage of the U. S. budget they thought went to foreign aid. The mean
response was 18%, and the median response was 15%. What do these responses indicate about the shape of the
distribution of all the responses?
(a) The distribution is skewed to the left.
(b) The distribution is skewed to the right.
(c) The distribution is symmetric around 16.5%
(d) The distribution is bell-shaped with a standard deviation of 3%.
(e) The distribution is uniform between 15% and 18%.
5. A researcher is trying to determine the proportions of adults who favor graduated licensing of student drivers. She
wants to be within 3% of the actual value using a 95% confidence interval. How many people should she poll?
(a) 268
(b) 1067
(c) 1068
(d) 4268
(e) 4269
HOLLOMAN'S AP STATISTICS
Name______________________________
– Multiple Choice Practice 13 (S)
1. How many people should be sampled in order to determine, within a margin of  3%, a 95% confidence
interval of the proportion of the population that feel the president is doing a good job in managing the
economy? Previous studies have determined that about 45% of the people believe the president is doing a
good job.
(a) 744
(b) 745
(c) 1056
(d) 1057
(e) 1068
2.
(a)
(b)
(c)
(d)
(e)
In a sample of 300 men, 65% had visited a doctor during the past year. In a similar sample of 400 women,
48% had visited a doctor. What is the 95% confidence interval for the difference between the percentage of
men and women who had visited a doctor in the past year?
17%  3.7%
17%  7.3%
55%  3.7%
56.5%  3.7%
56.5%  7.3%
3. A study done by a certain airline company showed that 44% of all travel on the airline is done for business
purposes. Another company conducts the same study and concludes that 55% of their passengers are
business travelers. If the two studies are random with 450 and 380 people surveyed respectively, is there
enough significant evidence to say that the proportion of people traveling by air for business purposes is
different for the two companies?
(a) enough significant evidence, p-value is low
(b) enough significant evidence, p-value is high
(c) not enough significant evidence, p-value is low
(d) not enough significant evidence, p-value is high
(e) cannot tell because of the missing data
4.
I.
II.
III.
(a)
(b)
(c)
(d)
(e)
Which of the following about t-distributions are true?
The greater the number of degrees of freedom, the narrower the tails.
The smaller the number of degrees of freedom, the closer the curve is to the normal curve.
Thirty degrees of freedom gives the normal curve.
I only
I and II
I and III
II and III
I, II, and III
5. The following are the SAT math scores for an AP Statistics class of 20 students: 664, 658, 610, 670, 640,
643, 675, 650, 676, 575, 660, 661, 520, 667, 668, 635, 671, 673, 645, and 650. The distribution of scores is
(a) symmetric
(b) skewed to the left
(c) skewed to the right
(d) uniform
(e) bell-shaped
HOLLOMAN'S AP STATISTICS
Name______________________________
– Multiple Choice Practice 14 (S)
1. The data in the following table represents the education level and salary level for a random sample of 200
residents of a certain city.
High School College/Trade
i.
University
Less than $20,000
13
15
$20,000 - $50,000
20
50
More than $50,000
8
40
What is the chi-square value for the data above?
(a) 12.02
(b) 15.27
(c) 22.64
(d) 9.09
(e) 3.55
20
25
10
ii.
What is the conclusion for the data above?
(a) there is no significant evidence at a 5% level that the salary and education are dependent
(b) there is no significant evidence at a 1% level that the salary and education are dependent
(c) there is significant evidence at a 1% level that the salary and education are dependent
(d) there is significant evidence at a 1% level that the salary and education are independent
(e) both a and b are correct
iii.
How many degrees of freedom must be used in the problem above?
(a) 1
(b) 3
(c) 4
(d) 8
(e) 9
2.
Which of the following are true statements?
I.
The range of the sample data set is never greater than the range of the population.
II.
The interquartile range is half the distance between the first quartile and the third quartile.
III.
While the range is affected by outliers, the interquartile range is not.
(a) I only
(b) II only
(c) III only
(d) I and II
(e) I and III
3. The average cost per ounce for glass cleaner is 7.7 cents with a standard deviation of 2.5 cents. What is the
z-score of Windex with a cost of 10.1 cents per ounce?
(a) 0.96
(b) 1.31
(c) 1.94
(d) 4.04
(e) none of these
HOLLOMAN'S AP STATISTICS
Name______________________________
– Multiple Choice Practice 15 (S)
1. Which of the following are true statements?
I.
All symmetric histograms have single peaks.
II.
All symmetric bell-shaped curves are normal
III.
All normal curves are bell-shaped and symmetric.
(a) I only
(b) II only
(c) III only
(d) I and II
(e) None of the above gives the complete set of true responses.
2. Which of the following are true statements?
I.
If the sample has a standard deviation zero, the standard deviation of the population is also zero.
II.
If the population has standard deviation zero, the standard deviation of the sample is also zero.
III.
If the sample has standard deviation zero, the sample mean and the sample median are the same.
(a) I and II
(b) I and III
(c) II and III
(d) I, II, and III
(e) None of the above
3. Suppose the starting salaries of a graduation class are:
# of students
Salary ($)
10
15,000
17
20,000
25
25,000
38
30,000
27
35,000
21
40,000
12
45,000
What is the mean starting salary?
(a) $30,000
(b) $30,533
(c) $32,500
(d) $32,533
(e) $35,000
4. When a set of data has suspect outliers, which of the following are preferred measures of central tendency and
variability?
(a) mean and standard deviation
(b) mean and variance
(c) mean and range
(d) median and range
(e) median and interquartile range
5. Suppose the correlation between two variables is -.57. If each of the y scores is multiplied by –1, which of the
following is true about the new scatterplot?
(a) It slopes up to the right and the correlation is -.57.
(b) It slopes up to the right and the correlation is +.57.
(c) It slopes down to the right and the correlation is –57.
(d) It slopes down to the right and the correlation is +.57.
(e) None of the above.
HOLLOMAN'S AP STATISTICS
Name______________________________
– Multiple Choice Practice 16 (S)
6. The margin of error in a confidence interval using z-scores covers which of the following?
I.
Random sampling errors
II.
Errors due to undercoverage and nonresponse in obtaining sample surveys.
III.
Errors due to using sample standard deviations as estimates for population standard deviations.
(a) I only
(b) II only
(c) III only
(d) I and III
(e) None of the above gives the complete set of true responses.
7. Changing from a 95% confidence interval to a 99% confidence interval, with all other things being equal,
(a) Increases the interval size by 4%.
(b) Decreases the interval size by 4%.
(c) Increases the interval size by 31%.
(d) Decreases the interval size by 31%.
(e) This question can’t be answered without knowing the sample size.
8. What sample size should be chosen to find the mean number of absences per month for school children to
within  .2 at a 95% confidence level if it is known that the standard deviation is 1.1?
(a) 96
(b) 117
(c) 11
(d) 29
(e) 82
9. To test which of two fuel additives results in better gas mileage, the average miles per gallon are noted when
40 cars are run for one week using one additive and a second week using the other additive. What is the
conclusion at a 10% level if a two-sample hypothesis test, H o : 1  2 , H a : 1  2 , results in a P-value
of .25?
(a) The observed difference in miles per gallon is significant.
(b) The observed difference in miles per gallon is not significant.
(c) A conclusion is not possible without knowing the mean miles per gallon obtained using each additive.
(d) A conclusion is not possible without knowing both the mean and standard deviation resulting from the
use of each additive.
(e) A two-sample hypothesis test should not be used in this example.
10. Which of the following statements about the correlation coefficient r are true?
I.
The correlation coefficient and the slope of the regression line have the same sign.
II.
A correlation of -.35 and a correlation of +.35 show the same degree of clustering around the
regression line.
III.
A correlation of .75 indicates a relationship that is 3 times as linear as one for which the correlation
is only .25.
(a) I and II
(b) I and III
(c) II and III
(d) I, II, and III
(e) None of the above
HOLLOMAN'S AP STATISTICS