Exam Name___________________________________

```1
Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether the given value is a statistic or a parameter.
1) A sample of 120 employees of a company is selected, and the average age is found to be 37 years. 1) _______
A) Statistic
B) Parameter
2) After taking the first exam, 15 of the students dropped the class.
A) Statistic
B) Parameter
2) _______
3) After inspecting all of
3) _______
of meat stored at the MacDonald Company, it was found that
of the meat was spoiled.
A) Statistic
B) Parameter
4) A health and fitness club surveys 40 randomly selected members and found that the average
weight of those questioned is
A) Parameter
B) Statistic
Determine whether the given value is from a discrete or continuous data set.
5) The number of freshmen entering college in a certain year is 621.
A) Continuous
B) Discrete
6) The temperature of a cup of coffee is 67.3°F.
A) Continuous
4) _______
5) _______
6) _______
B) Discrete
7) The weight of Hany's pack as he sets off on a backpacking trip is 24.3 kg.
A) Continuous
B) Discrete
7) _______
8) The number of limbs on a 2-year-old oak tree is 21.
A) Continuous
8) _______
B) Discrete
9) The height of 2-year-old maple tree is 28.3 ft.
A) Discrete
B) Continuous
9) _______
10) The number of stories in a Al Faisalia building is 22.
A) Discrete
B) Continuous
10) ______
11) The total number of phone calls a sales representative makes in a month is 425.
A) Discrete
B) Continuous
11) ______
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.
12) The temperatures of eight different plastic spheres.
12) ______
A) Ordinal
B) Interval
C) Nominal
D) Ratio
13) The sample of spheres categorized from softest to hardest.
A) Interval
B) Ordinal
C) Ratio
13) ______
D) Nominal
2
14) Salaries of college professors.
A) Nominal
B) Ratio
C) Ordinal
D) Interval
15) Survey responses of "good, better, best".
A) Ratio
B) Interval
C) Nominal
D) Ordinal
16) Temperatures of the ocean at various depths.
A) Ratio
B) Nominal
C) Ordinal
D) Interval
17) Nationalities of survey respondents.
A) Ratio
B) Ordinal
18) Ages of survey respondents.
A) Nominal
B) Ordinal
14) ______
15) ______
16) ______
17) ______
C) Nominal
D) Interval
18) ______
C) Ratio
D) Interval
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Identify the sample and population. Also, determine whether the sample is likely to be representative of the
population.
19) An employee at the local ice cream parlor ‫ دار‬asks three customers if they like chocolate
19) _____________
ice cream.
20) 100,000 randomly selected adults were asked whether they drink at least 48 oz ‫ أوقيه‬of
water each day and only 45% said yes.
20) _____________
21) In a poll of 50,000 randomly selected college students, 74% answered "yes" when asked
"Do you have a television in your dorm room?".
21) _____________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether the given description corresponds to an observational study or an experiment.
22) A marketing firm does a survey to find out how many people use a product. Of the one hundred 22) ______
people contacted, fifteen said they use the product.
A) Observational study
B) Experiment
23) A clinic gives a drug to a group of ten patients and a placebo to another group of ten patients to
find out if the drug has an effect on the patients' illness.
A) Observational study
B) Experiment
23) ______
24) A sample of fish is taken from a lake to measure the effect of pollution from a nearby factory on
the fish.
A) Experiment
B) Observational study
24) ______
25) A political pollster ‫استطالعبت الرآي السيبسية‬reports that his candidate has a 10% lead in the polls with
10% undecided.
A) Experiment
B) Observational study
25) ______
26) A quality control specialist compares the output from a machine with a new lubricant to the
output of machines with the old lubricant.
A) Observational study
B) Experiment
26) ______
3
Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience.
27) 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348,
and 481 students respectively.
A) Systematic
B) Random
C) Stratified
D) Convenience
E) Cluster
27) ______
28) A sample consists of every 49th student from a group of 496 students.
A) Random
B) Convenience
C) Cluster
D) Systematic
E) Stratified
28) ______
29) A market researcher selects 500 drivers under 30 years of age and 500 drivers over 30 years of
age.
A) Convenience
B) Stratified
C) Cluster
D) Systematic
E) Random
29) ______
30) A market researcher selects 500 people from each of 10 cities.
A) Stratified
B) Random
C) Convenience
D) Systematic
E) Cluster
30) ______
Identify the type of observational study (cross-sectional, retrospective, prospective).
31) A statistical analyst obtains data about ankle injuries ‫ اصبببت الكبحل‬by examining a hospital's
records from the past 3 years.
A) Cross-sectional
B) Prospective
C) Retrospective
D) None of these
31) ______
32) Researchers collect data by interviewing athletes who have won olympic gold medals from 1992
to 2008.
A) Cross-sectional
B) Prospective
C) Retrospective
D) None of these
32) ______
33) A researcher plans to obtain data by following those in cancer remission since January of 2005.
A) Cross-sectional
B) Retrospective
C) Prospective
D) None of these
33) ______
34) A town obtains current employment data by polling 10,000 of its citizens this month.
A) Prospective
B) Retrospective
C) Cross-sectional
D) None of these
34) ______
4
Provide an appropriate response.
35) The following frequency distribution analyzes the scores on a math test. Find the class
boundaries of scores interval 40-59.
A) 39.5, 58.5
B) 40.5, 59.5
C) 40.5, 58.5
D) 39.5, 59.5
36) The following frequency distribution analyzes the scores on a math test. Find the class midpoint
of scores interval 40-59.
A) 49.0
B) 49.5
C) 48.5
B) 95.5, 99.5
C) 94.5, 100.5
B) 97.5
C) 98.0
37) ______
D) 94.5, 99.5
38) The following frequency distribution analyzes the scores on a math test. Find the class midpoint
of scores interval 95-99.
A) 97.0
36) ______
D) 50.5
37) The following frequency distribution analyzes the scores on a math test. Find the class
boundaries of scores interval 95-99.
A) 95.5, 100.5
35) ______
D) 96.5
38) ______
5
Construct the cumulative frequency distribution that corresponds to the given frequency distribution.
39)
A)
B)
C)
D)
40)
39) ______
40) ______
A)
B)
C)
D)
6
41)
41) ______
A)
B)
C)
D)
7
Provide an appropriate response.
42) The frequency distribution for the weekly incomes of students with part-time jobs is given
below.
Construct the corresponding relative frequency distribution. Round relative frequencies to the
nearest hundredth of a percent if necessary.
A)
B)
C)
D)
42) ______
8
43) The scores on a recent statistics test are given in the frequency distribution below. Construct the
corresponding relative frequency distribution. Round relative frequencies to the nearest
hundredth of a percent if necessary.
A)
B)
C)
D)
43) ______
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Use the given data to construct a frequency distribution.
44) A medical research team studied the ages of patients who had strokes caused by stress.
44) _____________
The ages of 34 patients who suffered stress strokes were as follows.
29 30 36 41 45 50 57 61 28 50 36 58
60 38 36 47 40 32 58 46 61 40 55 32
61 56 45 46 62 36 38 40 50 27
Construct a frequency distribution for these ages. Use 8 classes beginning with a lower
class limit of 25.
9
45) Ahmed asked some of his friends how many hours they had worked during the
previous week at their after-school jobs. The results are shown below.
6 5 6 3 6 6 9 8 6 3 8 5
5 8 6 5 8 6 5 8 5 8 8 3
Construct a frequency distribution. Use 4 classes, a class width of 2 hours, and a lower
limit of 3 for
45) _____________
46) Jamal asked 24 students how many hours they had spent doing homework during the
previous week. The results are shown below.
10 11 10 8 10 10 14 13 10 9 13 11
11 13 10 11 13 10 11 13 11 13 13
8
Construct a frequency distribution. Use 4 classes, a class width of 2 hours, and a lower
limit of 8 for
46) _____________
47) On a math test, the scores of 24 students were
99 78 79 67 79 79 99 89 79 68 88 78
78 88 79 78 88 79 78 89 78 88 89 67
Construct a frequency distribution. Use 4 classes beginning with a lower class limit of
60.
47) _____________
48) The following figures represent Etesalat's monthly charges for long distance telephone
calls for the past twelve months.
48) _____________
Construct a frequency distribution with 4 classes.
10
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
49) A nurse measured the blood pressure ‫ ضغط الدم‬of each person who visited her clinic ‫عيبدتهب‬.
49) ______
Following is a relative-frequency histogram for the systolic blood pressure readings for those
people aged between 25 and 40. The blood pressure readings were given to the nearest whole
number. Approximately what percentage of the people aged 25-40 had a systolic blood pressure
‫ ضغط الدم االنقببضي‬reading between 110 and 119 inclusive?
A) 0.35%
B) 30%
C) 3.5%
D) 35%
50) A nurse measured the blood pressure of each person who visited her clinic. Following is a
relative-frequency histogram for the systolic blood pressure readings for those people aged
between 25 and 40. The blood pressure readings were given to the nearest whole number.
Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading
between 110 and 139 inclusive?
A) 59%
B) 39%
C) 75%
D) 89%
50) ______
11
51) A nurse measured the blood pressure of each person who visited her clinic. Following is a
relative-frequency histogram for the systolic blood pressure readings for those people aged
between 25 and 40. The blood pressure readings were given to the nearest whole number. What
class width was used to construct the relative frequency distribution?
A) 9
B) 100
C) 11
D) 10
Use the data to create a stemplot.
52) The following data show the number of laps run by each participant ‫ مشبرك‬in a marathon
‫المبرثىن‬.
46 65 55 43 51 48 57 30 43 49 32 56
A)
B)
53) The midterm test scores for the seventh-period typing class are listed below.
85 77 93 91 74 65 68 97 88 59 74 83 85 72 63 79
A)
B)
51) ______
‫سببق‬
52) ______
53) ______
12
54) The attendance counts for this season's basketball games are listed below.
227 239 215 219
221 233 229 233
235 228 245 231
A)
B)
54) ______
55) The weights of 22 members of the varsity football team are listed below.
144 152 142 151 160 152 131 164 141 153 140
144 175 156 147 133 172 159 135 159 148 171
A)
B)
55) ______
56) Twenty-four workers were surveyed about how long it takes them to travel to work each day.
The data below are given in minutes.
20 35 42 52 65 20 60 49 24 37 23 24
22 20 41 25 28 27 50 47 58 30 32 48
A)
B)
56) ______
13
Provide an appropriate response.
57) The table contains data from a study of daily study time for 40 students from Statistics 140.
Construct an ogive from the data.
57) ______
14
A)
B)
C)
D)
15
Solve the problem.
58) Saudia Ice Cream Company is always trying to create new flavors of ice cream. They are market
testing three kinds to find out which one has the best chance of becoming popular. They give
small samples of each to 20 people at a grocery store 4 .‫ محل بقبله‬ice cream tasters preferred the
Strawberry Cream, 12 preferred Choco-Nuts, and 4 loved the Orange Mint. Construct a Pareto
chart to represent these preferences. Choose the vertical scale so that the relative frequencies are
represented.
A)
B)
58) ______
16
C)
D)
Construct a pie chart representing the given data set.
59) The following data give the distribution of the types of houses in a town containing 44,000
houses.
Capes
Garrisons
Splits
11,000 15,400 17,600
A)
B)
59) ______
17
60) After reviewing a movie, 300 people rated the movie as excellent, good, or fair. The following
data give the rating distribution.
Excellent
Good
Fair
60
150
90
A)
B)
61) The following figures give the distribution of land (in acres) for a county containing 70,000
acres.
Forest Farm Urban
10,500
7000
52,500
A)
60) ______
B)
61) ______
18
Use the pie chart to solve the problem.
62) A survey of the 9833 vehicles on the campus of State University ‫ الحرم الجبمعي‬yielded the
following pie chart.
What percent of the vehicles are hatchbacks?
A) 36%
B) 8%
C) 354%
D) 26%
63) A survey of the 8115 vehicles on the campus of State University yielded the following pie chart.
Together, what percent of the vehicles are either vans or convertibles?
A) 16%
B) 7%
C) 144%
62) ______
D) 25%
63) ______
19
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
64) Use the high closing values of Naristar Inc. stock from the years 1990 - 2001 to construct
64) _____________
a time-series graph. (Let x = 0 represent 1990 and so on.) Identify a trend.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place
than is present in the original data values.
65) ِAhmed asked seven of his friends how many cousins they had. The results are listed below.
65) ______
Find the mean number of cousins.
18 12 7 13 7 2 7
A) 10.9 cousins
B) 9.4 cousins
C) 8.9 cousins
D) 11 cousins
66) The weights (in pounds) of six dogs are listed below. Find the mean weight.
17 56 85 38 138 98
A) 71.5 lb
B) 72.5 lb
C) 72 lb
D) 86.4 lb
66) ______
67) Last year, nine employees of an electronics company retired. Their ages at retirement are listed
below. Find the mean retirement age.
67) ______
A) 57.1 yr
B) 57.7 yr
C) 58.0 yr
D) 58.3 yr
68) The amount of time (in hours) that Mhamed studied for an exam on each of the last five days is
given below. Find the mean study time.
1.7 7.7 8.3 1.6 5.1
A) 4.88 hr
B) 24.40 hr
C) 4.96 hr
D) 5.45 hr
68) ______
69) The students in math class took the Scholastic Aptitude Test. Their math scores are shown
below. Find the mean score.
69) ______
A) 464.2
B) 473.7
C) 476.0
D) 455.1
20
70) Listed below are the amounts of weight change (in pounds) for 12 women during their first year
of work after graduating from college. Positive values correspond to women who gained weight
and negative values correspond to women who lost weight. What is the mean weight change?
A) 7.7 kg
B) 3.3 kg
C) 1.5 kg
D) 3.6 kg
71) Listed below are the amounts of time (in months) that the employees of a restaurant have been
working at the restaurant. Find the mean.
A) 54.8 months
B) 59 months
C) 51.1 months
71) ______
D) 21.5 months
Find the median for the given sample data.
72) The temperatures (in degrees Fahrenheit) in 7 different cities on New Year's Day are listed
below.
26 29 33 59 67 68 78
Find the median temperature.
A) 33°F
B) 59°F
C) 51°F
D) 67°F
73) The ages (in years) of the eight passengers on a bus are listed below.
10 7 26 16 21 43 40 30
Find the median age.
A) 23.5 yr
B) 21 yr
C) 26 yr
70) ______
72) ______
73) ______
D) 24.5 yr
74) A store manager kept track of the number of newspapers sold each week over a seven-week
period. The results are shown below.
80 39 214 152 264 239 232
Find the median number of newspapers sold.
A) 152 newspapers
B) 214 newspapers
C) 232 newspapers
D) 174 newspapers
74) ______
75) The distances (in miles) driven in the past week by each of a company's sales representatives are
listed below.
107 114 214 230 436 445
Find the median distance driven.
A) 214 miles
B) 220.50 miles
C) 222 miles
D) 230 miles
75) ______
Find the mode(s) for the given sample data.
76) -20 -43 -46 -43 -49 -43 -49
A) -49
B) -46
76) ______
C) -41.9
77) 20 42 46 42 49 42 49
A) 46
B) 49
78) 92 56 32
A) 59.5
56 29
79) 7.11 7.41
A) 7.11
7.56
D) -43
77) ______
C) 41.4
D) 42
92
78) ______
B) 92, 56
7.11
7.88 7.99
B) 7.56
C) 92
D) 56
7.62
79) ______
C) 7.41
D) 7.526
21
80) 66 25 66 13 25 29 56 66
A) 66
B) 42.5
80) ______
C) 25
Find the midrange for the given sample data.
81) 49 52 52 52 74 67 55 55
A) 12.5
B) 53.5
81) ______
C) 25
82) 3 6 9 0 4 1 11 5 9 14 3 8 2 15 0 9
A) 15
B) 5.5
83) 1.5 2.6 3.0
A) 2.25
1.0
1.2
3.9 1.8 3.5
B) 1.8
D) 43.3
2.3
2.8
D) 61.5
82) ______
C) 7.5
1.8
C) 2.3
D) 8
83) ______
D) 2.45
84) A meteorologist ‫ هيئة اإلرصبد الجىية‬records the number of clear days in a given year in each of 21
different KSA. cities. The results are shown below. Find the midrange.
72 143 52 84 100 98 101
120 99 121 86 60 59 71
125 130 104 74 83 55 169
A) 98 days
B) 112 days
C) 117 days
D) 110.5 days
Find the mean of the data summarized in the given frequency distribution.
85) A company had 80 employees whose salaries are summarized in the frequency distribution
below. Find the mean salary.
A) SR 17,125.00
B) SR 15,412.50
C) SR 17,500
B) 64.6
C) 71.8
85) ______
D) SR 18,837.50
86) The test scores of 40 students are summarized in the frequency distribution below. Find the
mean score.
A) 68.2
84) ______
D) 74.5
86) ______
22
87) The highway speeds of 100 cars are summarized in the frequency distribution below. Find the
mean speed.
A) 54.5 mph
B) 55.7 mph
C) 58.5 mph
D) 61.3 mph
88) The manager of a bank recorded the amount of time each customer spent waiting in line during
peak business hours one Monday. The frequency distribution below summarizes the results.
Find the mean waiting time. Round your answer to one decimal place.
A) 13.5 min
B) 8.7 min
C) 8.9 min
87) ______
88) ______
D) 7.1 min
Solve the problem.
89) Fadia gets quiz grades of 71, 75, and 64. She gets a 60 on her final exam. Find the weighted
mean if the quizzes each count for 20% and the final exam counts for 40% of the final grade.
Round to one decimal place.
A) 65.0
B) 66.0
C) 68.2
D) 67.5
89) ______
90) Amal gets test grades of 73, 77, 82, and 86. He gets a 93 on her final exam. Find the weighted
mean if the tests each count for 15% and the final exam counts for 40% of the final grade. Round
to one decimal place.
A) -74.1
B) 243.9
C) 82.2
D) 84.9
90) ______
91) A student earned grades of C, A, B, and A. Those courses had these corresponding numbers of
credit hours: 4, 5, 1, and 5. The grading system assigns quality points to letter grades as
91) ______
follows:
and
round the result to two decimal places.
A) 3.50
B) 3.40
Compute the grade point average (GPA) and
C) 8.75
D) 2.18
92) A student earned grades of B, B, A, C, and D. Those courses had these corresponding numbers
of credit hours: 3, 5, 1, 5, 3. The grading system assigns quality points to letter grades as
follows:
and
round the result to two decimal places.
A) 2.41
B) 1.41
Compute the grade point average (GPA) and
C) 3.15
D) 8.20
92) ______
23
Find the range for the given sample data.
93) Khaled teaches Chemistry 101. Last week he gave his students a quiz. Their scores are listed
below.
30 31 47 29 32 11 48 41 50 59 37 22
A) 59
B) 11
C) 48
D) 2
93) ______
94) Said has his own business as a painter. The amounts he made in the last five months are shown
below.
\$ 2416 \$ 2423 \$ 1644 \$ 2036 \$ 1267
A) \$ 1156
B) \$ 772
C) \$ 779
D) \$ 1149
94) ______
95) The prices (in dollars) of 12 electric smooth top ranges are listed below.
95) ______
A) \$900
B) \$920
C) \$930
D) \$910
96) The owner of a small manufacturing plant employs six people. As part of their personnel file,
she asked each employee to record the distance they travel one way from home to work. The six
distances (in miles) are listed below:
2.4 5.2 1.8 4.9 6.4 3.5
A) 5.2 mi
B) 4.6 mi
C) 1.1 mi
D) 1.8 mi
96) ______
97) Magdy called eight appliance stores and asked the price of a specific model of microwave oven .
The prices quoted are listed below:
\$ 119 \$ 494 \$ 179 \$ 634 \$ 426 \$ 285 \$317 \$492
A) \$ 119
B) \$ 106
C) \$ 515
D) \$ 494
97) ______
Find the variance for the given data. Round your answer to one more decimal place than the original data.
98) 18 20 18 2 7
98) ______
A) 63.9
B) 99.2
C) 64.0
D) 51.2
99) 6.6 8.5 4.6
A) 8.08
100) -12 6 -3
A) 88.2
101) 13.9 12.0
A) 1.59
6
1.7
2.4
99) ______
B) 7.98
C) 6.46
D) 12.80
12
13.0
100) _____
12.3
B) 88.9
C) 70.6
D) 88.1
10.5
B) 1.49
C) 33.32
D) 1.27
101) _____
102) Abdulla is currently taking college zoology. The instructor often gives quizzes. On the past five
quizzes, Jeanne got the following scores:
17 18 1 20 13
A) 97.4
B) 57.6
C) 57.7
D) 46.2
102) _____
24
103) The owner of a small manufacturing plant employs six people. As part of their personnel file,
she asked each one to record to the nearest one-tenth of a mile the distance they travel one way
from home to work. The six distances are listed below:
54 63 50 17 21 65
A) 54.2
B) 438.0
C) 13,975.5
D) 64.9
103) _____
Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present
in the original data.
104) 19 6 19 15 14 5 18 15 13
104) _____
A) 5.5
B) 5.2
C) 1.7
D) 4.9
105) 114 105 245
A) 63.6
106) 20.0 21.5
A) 13.11
193
27.4
295
47.3
248 229
B) 25.4
13.1 11.1
B) 37.3
229
170
105) _____
C) 67.9
D) 59.9
106) _____
C) 3285.4
D) 4145.1
107) Mohammed is currently taking college astronomy. The instructor often gives quizzes. On the
past seven quizzes, Mohammed got the following scores:
50 15 31 27 11 42 71
A) 8715.6
B) 11,341
C) 20.9
D) 31
107) _____
108) The top nine scores on the organic chemistry midterm are as follows.
66, 43, 86, 45, 68, 62, 29, 62, 90
A) 18.7
B) 19.8
C) 7.7
108) _____
D) 21.2
Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one
decimal place.
109) Listed below are the systolic blood pressures (in mm Hg) for a sample of men aged 20-29 and for 109) _____
a sample of men aged 60-69.
A) Men aged 20-29: 5.5%
Men aged 60-69: 10.7%
There is substantially more variation in blood pressures of the men aged 60-69.
B) Men aged 20-29: 5.3%
Men aged 60-69: 10.3 %
There is substantially more variation in blood pressures of the men aged 60-69.
C) Men aged 20-29: 8.7%
Men aged 60-69: 4.7%
There is more variation in blood pressures of the men aged 20-29.
D) Men aged 20-29: 5.0%
Men aged 60-69: 8.4%
There is substantially more variation in blood pressures of the men aged 60-69.
25
110) The customer service department of a phone company is experimenting with two different
systems. On Monday they try the first system which is based on an automated menu system. On
Tuesday they try the second system in which each caller is immediately connected with a live
agent. A quality control manager selects a sample of seven calls each day. He records the time
for each customer to have his or her question answered. The times (in minutes) are listed below.
110) _____
Live agent: 28.1%
There is substantially more variation in the times for the automated menu system.
Live agent: 44.2%
There is substantially more variation in the times for the live agent.
Live agent: 29.1%
There is substantially more variation in the times for the automated menu system.
Live agent: 30.2%
There is substantially more variation in the times for the automated menu system.
Find the standard deviation of the data summarized in the given frequency distribution.
111) A company had 80 employees whose salaries are summarized in the frequency distribution
below. Find the standard deviation.
A) \$7461.0
B) \$7105.7
C) \$7674.1
D) \$7887.3
112) The test scores of 40 students are summarized in the frequency distribution below. Find the
standard deviation.
A) 13.3
B) 12.6
C) 14.7
111) _____
D) 14
112) _____
26
113) The heights of a group of professional basketball players are summarized in the frequency
distribution below. Find the standard deviation. Round your answer to one decimal place.
A) 2.9 inch.
B) 3.2 inch.
C) 3.3 inch.
113) _____
D) 2.8 inch.
Solve the problem. Round results to the nearest hundredth.
114) Scores on a test have a mean of 70 and a standard deviation of 11. Fahed has a score of 48.
Convert Fahd’s score to a z-score.
A) -2
B) 22
C) -22
D) 2
114) _____
115) The mean of a set of data is 5.73 and its standard deviation is 3.44. Find the z score for a value
of 13.87.
A) 2.13
B) 2.37
C) 2.61
D) 2.67
115) _____
116) The mean of a set of data is -3.82 and its standard deviation is 2.31. Find the z score for a value
of 3.99.
A) 3.38
B) 3.04
C) 3.72
D) 3.68
116) _____
117) The mean of a set of data is 359.53 and its standard deviation is 63.94. Find the z score for a
value of 445.29.
A) 1.34
B) 1.21
C) 1.64
D) 1.48
117) _____
Determine which score corresponds to the higher relative position.
118) Which is better, a score of 92 on a test with a mean of 71 and a standard deviation of 15, or a
score of 688 on a test with a mean of 493 and a standard deviation of 150?
A) A score of 688
B) A score of 92
C) Both scores have the same relative position.
118) _____
119) Which is better: a score of 82 on a test with a mean of 70 and a standard deviation of 8, or a score
of 82 on a test with a mean of 75 and a standard deviation of 4?
A) Both scores have the same relative position.
B) The second 82
C) The first 82
119) _____
120) Which score has a higher relative position, a score of 327.6 on a test for which
120) _____
, or a score of 22.2 on a test for which
and s = 2?
A) A score of 327.6
B) Both scores have the same relative position.
C) A score of 22.2
= 280 and
27
121) Which score has a higher relative position, a score of 38 on a test for which
= 27 and
or
121) _____
a score of 262.7 on a test for which = 200 and s = 57?
A) A score of 262.7
B) Both scores have the same relative position.
C) A score of 38
Find the percentile for the data value.
122) Data set: 55 38 30 66 67 68
data value: 55
A) 57
B) 43
123) Data set: 4 6 14
data value: 14
A) 52
10
124) Data set: 4 13
data value: 6
A) 62
6
8
125) Data set: 122 134
119;
data value: 128
A) 85
4
10
44;
122) _____
C) 20
18
18
22
6
B) 70
4
4
13
120
18
12
2
18;
123) _____
C) 35
6
4
13 2
B) 25
126
6
D) 50
128
13 15
D) 60
5 9
4 12
8
6
C) 35
130
B) 62
120
118
125
13;
124) _____
D) 40
122
126
136
C) 75
118
122
124
D) 70
126) In a data set with a range of 63.5 to 102.3 and 200 observations, there are 138 observations with
values less than 89.2. Find the percentile for 89.2.
A) 32
B) 514
C) 69
D) 114.69
Find the indicated measure.
127) Use the given sample data to find
.
49 52 52 52 74 67 55 55
A) 55.0
B) 61.0
125) _____
126) _____
127) _____
C) 6.0
128) The weights (in pounds) of 30 newborn babies are listed below. Find
5.5 5.7 5.8 6.0 6.1 6.1 6.3 6.4 6.5 6.6
6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2
7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7
A) 7.5 lb
B) 5.8 lb
C) 6.4 lb
129) The test scores of 32 students are listed below. Find
.
32 37 41 44 46 48 53 55
56 57 59 63 65 66 68 69
70 71 74 74 75 77 78 79
80 82 83 86 89 92 95 99
A) 80
B) 24
C) 79.5
D) 67.0
128) _____
.
D) 6.3 lb
129) _____
D) 79
28
Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots.
130) The weights (in pounds) of 30 newborn babies are listed below. Construct a boxplot for the data
set.
5.5 5.7 5.8 5.9 6.1 6.1 6.3 6.4 6.5 6.6
6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2
7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7
A)
130) _____
B)
C)
D)
131) The test scores of 32 students are listed below. Construct a boxplot for the data set.
32 37 41 44 46 48 53 55
57 57 59 63 65 66 68 69
70 71 74 74 75 77 78 79
81 82 83 86 89 92 95 99
A)
B)
C)
D)
131) _____
29
132) The test scores of 40 students are listed below. Construct a boxplot for the data set.
25 35 43 44 47 48 54 55 56 57
59 62 63 65 66 68 69 69 71 72
72 73 74 76 77 77 78 79 80 81
81 82 83 85 89 92 93 94 97 98
A)
B)
C)
D)
Express the indicated degree of likelihood as a probability value.
133) "You have a 50-50 chance of choosing the correct answer."
A) 0.25
B) 0.50
C) 0.9
134) "There is a 40% chance of rain tomorrow."
A) 40
B) 0.40
135) "You have one chance in ten of winning the race."
A) 1
B) 0.5
136) Which of the following cannot be a probability?
A) -1
B)
137) Which of the following cannot be a probability?
A)
B)
132) _____
133) _____
D) 50
134) _____
C) 0.60
D) 4
135) _____
C) 0.90
D) 0.10
C) 0
D) 1
C)
D)
136) _____
137) _____
138) What is the probability of an event that is certain to occur?
A) 1
B) 0.99
C) 0.5
138) _____
D) 0.95
139) What is the probability of an impossible event?
A) 1
B) 0.1
D) -1
139) _____
C) 0
140) On a multiple choice test with four possible answers for each question, what is the probability of
answering a question correctly if you make a random guess?
A)
B) 1
C)
D)
140) _____
30
Find the indicated probability.
141) A sample space consists of 174 separate events that are equally likely. What is the probability of
each?
A) 0
B)
C) 1
D) 174
141) _____
142) On a multiple choice test, each question has 5 possible answers. If you make a random guess on
the first question, what is the probability that you are correct?
A)
B) 5
C) 1
D) 0
142) _____
143) A die with 6 sides is rolled. What is the probability of rolling a number less than 5?
A) 4
B)
C)
D)
143) _____
144) A bag contains 2 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly
selected from the bag, what is the probability that it is blue?
A)
B)
C)
D)
144) _____
From the information provided, create the sample space of possible outcomes.
145) Flip a coin twice.
A) HH TT HT HT
B) HT TH
C) HH HT TT
145) _____
D) HH HT TH TT
146) Flip a coin three times.
A) HHH HHT HTH HTT THH THT TTH TTT
B) HHH TTT THT HTH HHT TTH HTH
C) HTT THT HTH HHH TTH TTT
D) HHH HTT HTH TTT HTT THH HHT THT
Find the indicated probability.
147) A 6-sided die is rolled. Find P(3 or 5).
A)
B) 2
146) _____
147) _____
C)
D)
148) A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing a face card or a 4).
A)
B)
C)
D) 16
148) _____
149) In one town, 39% of all voters are Democrats. If two voters are randomly selected for a survey,
find the probability that they are both Democrats. Round to the nearest thousandth if necessary.
A) 0.390
B) 0.152
C) 0.148
D) 0.780
149) _____
150) Find the probability of correctly answering the first 5 questions on a multiple choice test if
A)
B)
C)
D)
150) _____
31
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
151)
151) ____________
152)
152) ____________
153)
153) ____________
154)
154) ____________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the mean of the given probability distribution.
155)
155) _____
A) μ = 1.55
B) μ = 1.65
C) μ = 1.23
D) μ = 1.13
32
156) The random variable x is the number of houses sold by a realtor in a single month at the
Sendsom's Real Estate office. Its probability distribution is as follows.
A) μ = 3.60
B) μ = 3.40
C) μ = 3.35
D) μ = 3.50
157) The number of golf balls ordered by customers of a pro shop has the following probability
distribution.
A) μ = 9.66
B) μ = 6.99
C) μ = 7.86
B) σ = 2.90
C) σ = 1.35
158) _____
D) σ = 1.70
159) The random variable x is the number of houses sold by a realtor in a single month at the
Sendsom's Real Estate Office. Its probability distribution is as follows. Find the standard
deviation for the probability distribution.
A) σ = 2.62
B) σ = 6.86
C) σ = 2.25
157) _____
D) μ = 9
Provide an appropriate response. Round to the nearest hundredth.
158) Find the standard deviation for the given probability distribution.
A) σ = 1.30
156) _____
D) σ = 4.45
159) _____
33
160) In a certain town, 40% of adults have a college degree. The accompanying table describes the
probability distribution for the number of adults (among 4 randomly selected adults) who have
a college degree. Find the standard deviation for the probability distribution.
A) σ = 1.12
B) σ = 1.88
C) σ = 0.96
160) _____
D) σ = 0.98
Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard
deviation 1.
161)
161) _____
A) 0.8708
B) 0.1292
C) 0.8907
D) 0.8485
162)
162) _____
A) 0.2776
B) 0.7224
C) 0.2224
D) 0.2190
163)
163) _____
A) -0.0344
B) 0.9656
C) 0.4656
D) 0.0344
34
164)
164) _____
A) 0.3576
B) 0.8212
C) 0.6424
D) 0.1788
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
165) _____
A) 1.03
B) -1.38
C) 1.82
D) 1.75
A) -0.25
166) _____
B) -0.57
C) 0.57
D) 0.25
35
Provide an appropriate response.
167) Determine which plot shows the strongest linear correlation.
A)
B)
C)
167) _____
D)
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
168) _____
A) -1.26
B) -1.34
C) -1.39
D) -1.45
36
A) -1.89
169) _____
B) -1.48
C) -1.75
D) -1.63
Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard
deviation 1.
170)
170) _____
A) 0.1401
B) 0.8599
C) 0.2802
D) 0.7198
37
Construct a scatterplot for the given data.
171)
171) _____
A)
B)
C)
D)
38
172)
172) _____
A)
B)
C)
D)
39
Determine which scatterplot shows the strongest linear correlation.
173) Which shows the strongest linear correlation?
A)
B)
174) Which shows the strongest linear correlation?
A)
B)
C)
173) _____
C)
174) _____
40
Find the value of the linear correlation coefficient r.
175)
A) -0.2
B) 0.2
175) _____
C) 0
D) -0.178
176)
176) _____
A) 0.109
B) 0.214
C) -0.078
D) -0.054
177)
177) _____
A) -0.081
B) -0.775
C) 0
D) 0.754
178) The paired data below consist of the test scores of 6 randomly selected students and the number
of hours they studied for the test.
A) 0.224
B) -0.678
C) -0.224
D) 0.678
179) The paired data below consist of the costs of advertising (in thousands of dollars) and the
number of products sold (in thousands):
A) 0.708
B) -0.071
C) 0.235
178) _____
D) 0.246
179) _____
41
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)
21)
22)
23)
24)
25)
26)
27)
28)
29)
30)
31)
32)
33)
34)
35)
36)
37)
38)
39)
40)
41)
42)
43)
44)
A
B
B
B
B
A
A
B
B
A
A
B
B
B
D
D
C
C
Sample: the 3 selected customers; population: all customers; not representative
Sample: the 50,000 selected college students; population: all college students; representative
A
B
B
B
B
C
D
B
A
C
C
C
C
D
B
D
A
D
B
B
C
A
42
45)
46)
47)
48)
49)
50)
51)
52)
53)
54)
55)
56)
57)
58)
59)
60)
61)
62)
63)
D
C
D
B
B
A
B
B
A
D
A
B
A
A
D
43
64) Trend: Answers will vary. Possible answer: High closing stock values show a decrease from 1990 through 1992,
after which the value of the stock rose through 1998. Another decrease occurred in 1999 and continued through
2001.
65)
66)
67)
68)
69)
70)
71)
72)
73)
74)
75)
76)
77)
78)
79)
80)
81)
82)
83)
84)
85)
86)
87)
88)
89)
90)
91)
92)
93)
94)
95)
96)
97)
B
C
D
A
A
B
A
B
A
B
C
D
D
B
A
A
D
C
D
D
A
C
B
B
B
D
B
A
C
A
D
B
C
44
98)
99)
100)
101)
102)
103)
104)
105)
106)
107)
108)
109)
110)
111)
112)
113)
114)
115)
116)
117)
118)
119)
120)
121)
122)
123)
124)
125)
126)
127)
128)
129)
130)
131)
132)
133)
134)
135)
136)
137)
138)
139)
140)
141)
142)
143)
144)
145)
146)
C
A
A
A
C
B
B
A
A
C
B
B
A
B
D
D
A
B
A
A
B
B
A
B
B
D
C
C
C
B
C
C
A
C
D
B
B
D
A
D
A
C
C
B
A
D
C
D
A
45
147)
148)
149)
150)
151)
152)
153)
154)
155)
156)
157)
158)
159)
160)
161)
162)
163)
164)
165)
166)
167)
168)
169)
170)
171)
172)
173)
174)
175)
176)
177)
178)
179)
D
B
B
C
Not a probability distribution. The sum of the P(x)'s is not 1, since 0.977 ≠ 1.000.
Probability distribution.
Not a probability distribution. The sum of the P(x)'s is not 1, since 1.113 ≠ 1.000.
Not a probability distribution. One of the P(x)'s is negative.
C
A
A
A
A
D
A
A
B
C
D
A
A
B
C
D
A
C
C
B
A
A
B
A
A
```
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