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Statistical Reasoning for Everyday Life
Chapter 2 (Measurement in Statistics) Exam, form A
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or
answers the question.
For problems 1 and 2, identify the variables as either qualitative or quantitative.
1) The state in which people live.
A) Qualitative B) Quantitative
2) The size of your house.
For problems 3 and 4, identify the number as either continuous or discrete.
3) The average height of all freshmen entering college in a certain year is 68.4 inches.
A) Continuous B) Discrete
4) The number of eggs in a goose nest is 8.
5) Temperatures in degrees Fahrenheit of the ocean at various depths.
A) Ratio B) Interval C) Ordinal D) Nominal
6) Two statements are given below. Select the statement for which a ratio of the measurements is
meaningful. State “Neither” or “Both” if appropriate.
1. Kasheta ran the race in 22.3 sec, and Louisa ran the same race in 26.4 sec.
2. Juan gets out of school at 2:45 PM, and Aito gets out of school at 3:15 PM.
A) Kasheta ran the race in 22.3 sec, and Louisa ran the same race in 26.4 sec.
B) Neither
C) Both
D) Juan gets out of school at 2:45 PM, and Aito gets out of school at 3:15 PM.
7) Select the description that most completely classifies the given variable.
Soft drink sizes: small, medium, large
A) Qualitative, nominal B) Quantitative, ordinal
C) Quantitative, ordinal, discrete D) Qualitative, ordinal
8) A digital scale reads 0.01 g when it is empty. Identify the potential error in the measurements made on
this scale as random or systematic.
A) Random B) Systematic
9) Totals are determined by rounding to tenths. Identify the potential error as random or systematic.
A) Random B) Systematic
10) The results of a poll are stated as follows: “Based on a survey of 156 randomly selected students, 90%
of the student body of 2870 students agree that no student should have to take final exams in two
consecutive exam periods.” If 2578 students actually agree, then what is the absolute error in the reported
result?
A) 5 students B) 287 students
C) 0.17% D) 292 students
13
Copyright © 2018 Pearson Education, Inc.
11) A state trooper’s radar indicates that your car is traveling 70 miles per hour; you had the cruise control
set at 65 mph. What is the relative error?
A) 5 mph B) 7.1% C) 7.7% D) 0.929
14
12) According to a specification, the nominal length of a particular manufactured part is 5.4523 cm.
Quality control randomly selects one of the parts, and four different quality-control technicians measure
its length. Their measurements are 5.3234 cm, 5.11259 cm, 5.351 cm, and 5.45 cm. Which measurement
is the most accurate?
A) 5.3234 cm B) 5.11259 cm C) 5.351 cm D) 5.45 cm
13) Compared with a metric scale that has grams as the smallest division, a scale with milligrams as the
smallest division
A) will guarantee measurements that are more accurate, but not necessarily more precise.
B) will guarantee measurements that are more precise and more accurate.
C) will guarantee measurements that are more precise, but not necessarily more accurate.
D) will not guarantee measurements that are more accurate or more precise.
14) In a survey of 500 human resource professionals, 90% said that the appearance of a résumé is very
important for a good first impression. What is the actual number of respondents who said this?
A) 45 respondents.
B) 90 respondents.
C) 400 respondents.
D) 450 respondents.
15) Convert 5 to a percent.
16
A) 31.25% B) 0.3125% C) 3.125% D) 0.03125%
16) Convert 0.45 to a percent.
A) 45% B) 0.0045% C) 4.5% D) 0.45%
17) Humanities majors spend an average of $115 per course on books. Mathematics majors spend an average
of $70 per course on books. What is the percent difference between the two amounts relativeto the
amount for mathematics majors (round to the nearest percent)?
A) 64% B) 39% C) −64% D) −39%
18) Boys spend an average of $400 on back-to-school clothes. Girls spend an average of $1032. How much
less is the boy’s average expenditure, relatively, than the girl’s expenditure (round to the nearest
percent)?
A) 61% B) 158% C) −158% D) 39%
19) Suppose that the cost of a statistics text was $50 in 1995 and is $100 in 2016. What is the ‘Statistics Text
Index’ number, rounded to the nearest tenth, for the 2016 edition with the 1995 price as the reference
value?
A) 20.0 B) 200.0 C) 50.0 D) 2.0
20) A part of the Consumer Price Index (CPI) is given below:
Year 1975 1980 1985 1990 1995 2000 2005 2010 2015
CPI 53.8 82.4 107.6 130.7 152.4 172.2 195.3 218.1 237.0
Suppose a week’s groceries in 1980 cost $70. What would these groceries cost, to the nearest dollar, 10
years later?
A) $38 B) $44 C) $111 D) $129
15
Chapter 2 (Measurement in Statistics) Exam, form B
For problems 1 and 2, identify the variable as either qualitative or quantitative.
1) A person’s height in feet.
2) A person’s political affiliation.
For problems 3 and 4, identify the number as either discrete or continuous.
3) The number of books available from Amazon.com is 227,362.
A) Discrete B) Continuous
4) An athlete runs 100 meters in 10.7 seconds.
A) Discrete B) Continuous
5) Determine which of the four levels of measurement is most appropriate.
Ages of survey respondents.
A) Ratio B) Interval C) Ordinal D) Nominal
1. Kim pulled weeds at the rate of twenty weeds per minute, and Jorge pulled 18 weeds per minute.
2. Anna Lisa swam 45 yards underwater, and Marissa swam 35 yards underwater.
A) Anna Lisa swam 45 yards underwater, and Marissa swam 35 yards underwater.
B) Kim pulled weeds at the rate of twenty weeds per minute, and Jorge pulled 18 weeds per minute.
C) Neither
D) Both
Preference ratings: as in “Rate the item of most importance to you a 5 and that of least importance a 1”
A) Qualitative, ordinal B) Quantitative, ordinal
C) Quantitative, ordinal, discrete D) Qualitative, nominal
8) A computer uses voice recognition software. Identify a misinterpreted word as a systematic or random
error.
A) Systematic B) Random
9) Identify the potential error in recording arrival times for interstate highway trips as random or
systematic.
10) The size of an e-mail file is stated as 210 kB, but the file size is actually 220.5 kB. What is the absolute
error?
A) 5% B) 10% C) 10.5 kB D) −10.5 kB
11) The pickup time of an answering machine is set at 5 rings, but the machine picks up after 4 rings. What
is the relative error?
A) −1 ring B) 4 to 6 rings C) −25% D) −20%
12) The approximate value of  is 3.1415927. Which of the following experimentally determined values is
the most precise?
A) 3.14 B) 3.247 C) 3.412114 D) 3.3245
16
13) Compared with a stopwatch that gives readings as _ _ . _ seconds (e.g. 23.5 seconds), a stopwatch that
gives readings as _______ seconds (e.g. 23.54 seconds) is
A) more accurate, but not necessarily more precise.
B) more precise and more accurate.
C) not necessarily more precise or more accurate.
D) more precise, but not necessarily more accurate.
14) In a survey of 500 human resource professionals, 80% said that the appearance of a resume is very
A) 45 respondents
B) 80 respondents
C) 400 respondents
D) 450 respondents
15) Convert 13% to decimal form.
A) 0.013 B) 0.13 C) 1.3 D) 13
A) 565% B) 5.65% C) 0.565% D) 56.5%
17) Research shows that 14% of 6th graders in K−6 schools have tried cigarettes and 61% of 7th graders in
8−9 or 7−9 middle schools have tried cigarettes. What is the absolute increase, to the nearest percent?
A) 77% B) 336% C) 436% D) 47%
18) Research shows that 14.3% of persons 20−25 years old vote and 59.9% of persons 60−65 years old
vote. What is the absolute increase from the younger group to the older group, to the nearest point?
A) 76 points B) 319 points C) −46 points D) 46 points
value?
A) 0.6 B) 163.6 C) 1.6 D) 61.1
20) A part of the Consumer Price Index (CPI) table is given below:
Year 1975 1980 1985 1990 1995 2000 2005 2010 2015
CPI 53.8 82.4 107.6 130.7 152.4 172.2 195.3 218.1 237.0
Suppose an actuary’s salary was $86,000 in 1995. What would the salary have to have been in 1975 if
it had just kept up with inflation (round to the nearest $1000)?
A) $244,000 B) $30,000 C) $58,000 D) $128,000
17
Chapter 2 (Measurement in Statistics) Exam, form C
For problems 1 and 2, identify the variable as either quantitative or qualitative.
1) Brand of basketball shoes worn by a team.
A) Quantitative B) Qualitative
2) Outcome of tossing a coin.
3) The average speed of cars passing a busy intersection between 4:30 P.M. and 6:30 P.M. on a Friday is
32.3 mi/h.
4) The total number of scam emails you receive in a month is 7.
Political party preference of survey respondents.
A) Nominal B) Ordinal C) Interval D) Ratio
1. The fertilized grass grew 2.9 inches in a week; the unfertilized grass grew 1.8 inches in the same
week.
2. The single-stage model rocket went up 287 ft; the two-stage model rocket went up 412 ft.
A) The single-stage model rocket went up 287 ft; the two-stage model rocket went up 412 ft.
B) The fertilized grass grew 2.9 inches in a week; the unfertilized grass grew 1.8 inches in the same
week.
C) Neither
D) Both
Number of wins by the NFL teams in the NFC Central division
A) Quantitative, nominal B) Quantitative, interval
C) Qualitative, interval D) Quantitative, ratio
8) A cook estimates one-third of a cup in a cup measuring cup marked in quarters. Assuming that the
cook knows how big 1/3 is, relative to 1/4 and 1/2, identify the potential measurement error as systematic
or random.
9) A person is always late for class. Identify the potential error as random or systematic.
10) Rather than use the two scoops of coffee recommended by the manufacturer, a coffee aficionado uses
three scoops of coffee per pot. What is the relative error?
1 1
A) –50% B) −33 % C) 50% D) 33 %
3 3
11) A pharmacist puts 32 pills into a prescription order that calls for 30 pills. What is the absolute error?
A) −6.7% B) −2 pills C) 2 pills D) 6.7%
18
12) The approximate value of  is 3.1415927. Which of the following experimentally determined values is
the most accurate?
A) 3.14 B) 3.3245 C) 3.412114 D) 3.247
13) Which of the following statements is correct?
A) “Precise measurement” means the same thing as “accurate measurement.”
B) An accurate measurement must be precise.
C) A precise measurement must be accurate.
D) A precise measurement is not necessarily accurate.
A) 35 respondents
B) 70 respondents
C) 350 respondents
D) 400 respondents
15) Convert 1779% to decimal form.
A) 177.9 B) 17.79 C) 1.779 D) 177,900
16) Convert 0.0195% to decimal form.
A) 0.000195 B) 1.95 C) 0.195 D) 19.5
17) A professor’s checking account balance a year ago was $1470. Currently, it is $1040. Calculate the
relative percentage change to the nearest percentage point.
A) −41% B) 29% C) 41% D) −29%
18) Research shows that 15.5% of persons 20−25 years old vote and 63.5% of persons 60−65 years old
vote. What is the relative change from the younger group to the older group, to the nearest percent?
A) −48% B) 76% C) 310% D) 48%
value?
A) 150 B) 66.7 C) 100.0 D) 50
Year 1975 1980 1985 1990 1995 2000 2005 2010 2015
CPI 53.8 82.4 107.6 130.7 152.4 172.2 195.3 218.1 237.0
What is the percent increase of a market basket of goods from 1975 to 1985? Round the percent to the
nearest integer.
A) 100% B) 200% C) 54% D) 50%
19
Chapter 2 (Measurement in Statistics) Exam, form D
For problems 1 and 2, identify the variable as either quantitative or qualitative.
1) A player’s number on her soccer jersey
2) The number of textbooks owned by a student
3) The number of Direct TV customers
4) The voltage of the electricity in a power line
A librarian rates fives books on an “ease of reading” scale from 1 (easy) to 10 (hard).
A) Nominal B) Ordinal C) Interval D) Ratio
1. Jan earned a B on her test and Bob earned a C.
2. Bob wears size 9 shoes and Earl wears size 13.
A) Jan earned a B on her test and Bob earned a C.
B) Bob wears size 9 shoes and Earl wears size 13.
C) Neither
D) Both
A Prostate Specific Antigen (PSA) test is useful in detecting prostate cancer in men. A sample of blood
is analyzed and the concentration of PSA is reported in nanograms per milliliter. Values less than 4.0
are considered normal and values over 10.0 indicate that further tests are needed. The best classification
of the PSA variable is
A) Nominal B) Qualitative, Ordinal
C) Quantitative, Continuous D) Quantitative, Discrete
8) Amtrak passenger trains are often late in arriving at their destinations. Identify the potential error in
arrival time as systematic or random.
9) A recipe for grape jelly calls for 4 pounds of grapes. The jelly maker estimates the 4 pounds of grapes
by standing on a bathroom scale with and without the grapes. The scale only shows the weight to the
nearest pound. Identify the error in the weight as systematic or random.
10) The grape jelly maker in the previous problem actually uses 3 pounds, 12 ounces of grapes instead of the
4 pounds called for by the recipe. What is the relative error? (There are 16 ounces in a pound.)
A) 4 ounces B) –4 ounces C) 6.25% D) –6.25%
11) A golfer estimates that the distance to the hole for his next shot is 200 yards. The actual distance is
exactly 212 yards. What is the relative error?
A) –12 yards B) −6.0% C) 6.0% D) –5.7%
20
12) Avogadro’s number is the number of molecules of a substance in a quantity of the substance measured
in grams equal to its atomic weight. It can only be determined by chemistry or physics experiments. Itis
named after Amadeo Avogadro, who postulated in 1811 that this number was the same for all substances.
Various values for this constant have been determined experimentally. Some of them are
6.02 x 1023, 6.022 x 1023, and 6.02214199 x 1023. The 1023 means that you have to move the decimal
point 23 places to the right. Which of these values is the most accurate?
A) 6.02 x 1023 B) 6.022 x 1023 C) 6.02214199 x 1023 D) We can’t tell.
13) Compared to a scale that measures your weight to tenths of a pound, a scale that measures your weight
to the nearest ounce is
A) more precise and more accurate.
B) less precise, but may be more accurate.
C) more precise, but may be less accurate.
D) less precise and less accurate.
A) 30 respondents
B) 60 respondents
C) 300 respondents
D) 360 respondents
15) Convert 112.463% to decimal form.
A) 1.12463 B) 11.2463 C) 1124.63 D) 11246.3
A) 0.001963% B) 0.01963% C) 1.963% D) 19.63%
17) After a year of weight training, Harold’s weight changed from 172 pounds to 185 pounds. What is his
percent increase in weight to the nearest tenth?
A) 13.0 pounds B) 8.0% C) 7.6% D) 7.0%
18) On September 28, 2012, the average price of a gallon of regular unleaded gas in Eau Claire, Wisconsin,
was $3.89 while in Appleton, Wisconsin, the average price was $3.74. What is the percentage difference
in price in Appleton (to the nearest tenth of a percent) relative to the price in Eau Claire?
A) −3.9% B) 3.9% C) –4.0% D) 4.0%
19) Suppose that the cost of a statistics text was $45 in 1995 and $76 in 2016. What is the Statistics Text
Index number, rounded to the nearest tenth, for the 1995 edition with the 2016 price as the reference
value?
A) 0.6 B) 5.9 C) 59.2 D) 168.9
Year 1975 1980 1985 1990 1995 2000 2005 2010 2015
CPI 53.8 82.4 107.6 130.7 152.4 172.2 195.3 218.1 237.0
Suppose that a statistician’s salary was $64,000 in 1985. What would the salary have to be in 2005 to
keep up with inflation (rounded to the nearest $1000)?
A) $125,000 B) $69,000 C) $116,000 D) $35,000
21
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