Math 109 Test 1 (Part 1)

Math 109 Test 1 (Part 1)
Name___________________________________
Answer the question.
1) Based on a poll, a newspaper reported that between 58% and 62% of voters would be likely to
1)
vote for a school bond issue. What is the margin of error of the poll?
A) 10%
B) 31%
C) 29%
D) 2%
Provide an appropriate response.
2) Based on a recent survey of adults in 75,000 households, the U.S. Labor Department reported
an unemployment rate of 3.4%. The margin of error was 0.1 percentage point. The goal of the
study was to
A) predict the unemployment rate for the following decade.
B) determine the percentage of U.S. adults who are unemployed.
C) determine the number of U.S. adults who are unemployed.
D) determine the reasons U.S. adults are unemployed.
Answer the question.
3) An employer wanted to determine the importance of health insurance as a benefit to
employees. Which sample is least likely to be biased by personal interest?
A) A group of 30 employees from the company who had medical treatment in the past year
B) A survey of 300 union members conducted by the union that represents workers at the
company
C) All of the groups have potential bias.
D) A group of thirty potential employees at the state office of employment
Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience.
4) 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496,
348, and 481 students respectively.
A) Systematic
B) Cluster
C) Stratified
D) Convenience
E) Random
Identify the variable of interest in the study.
5) A quality control specialist compares the output from a machine with a new lubricant to the
output of machines with the old lubricant.
A) Whether the new lubricant is more cost-effective than the old lubricant
B) The difference between the measured outputs of a machine using each type of lubricant
C) The number of machines tested
2)
3)
4)
5)
Determine whether the data described are qualitative or quantitative and give their level of measurement. If the
data are quantitative, state whether they are continuous or discrete.
6) The number of inches of rain in a month
6)
A) Qualitative, ratio, continuous
B) Quantitative, interval, continuous
C) Quantitative, ratio, continuous
D) Quantitative, ratio, discrete
A-1
Provide an appropriate response.
7) A nutritionist wants to conduct a study to validate the efficacy of an herb as an aid in weight
loss. She randomly assigns half of a group of overweight persons to a treatment group who
are given the herb with instructions as to use and a planned diet for six weeks. The other half
of the group is given the same diet without the herb. Participants are aware as to which group
they belong. A nurse at the nutrition center weighs each subject on Friday of each week.
Identify any problems that are likely to cause confounding.
A) The placebo effect
B) Experimenter effect
C) The study is essentially free of confounding sources.
D) Method of assignment to treatment and control groups
Determine the evaluation guideline that applies best in questioning the results of the described study.
8) A homeowner put a brand-name fertilizer/weed killer on half of his lawn and a generic
fertilizer/weed killer on the other half. After three weeks, the generic side had 1 weed per
square meter, the other side 1.7 weeds per square meter. The generic side required two
mowings in the 3 weeks, the brand-name side one. The homeowner concluded that the
generic was superior to the brand-name.
A) Consider the sample.
B) Consider the source.
C) Consider the type of study.
D) Consider possible confounding variables.
7)
8)
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.
9) Survey responses of ʺgoodʺ, ʺbetterʺ, ʺbestʺ
9)
A) Nominal
B) Ordinal
C) Ratio
D) Interval
Provide an appropriate response.
10) 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) Systematic
B) Random
Answer the question.
11) The results of a poll are stated as follows: ʺBased 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.ʺ If 2578 students actually agree, then what is the
absolute error in the reported result?
A) 5 students
B) 2714 students
C) 10%
D) 0.17%
10)
11)
12) Of the 192 classes I attended last semester, the professor was late 11 times. Which question
most probably represents the purpose of the study?
A) What percent of professors are late to class?
B) What percent of classes will not start on time?
C) How many classes will not start on time during a full school year?
D) For what percent of classes is a professor tardy?
12)
13) 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) 4 to 6 rings
B) -20%
C) -25%
D) -1 ring
13)
A-2
Provide an appropriate response.
14) According to a specification, the nominal length of a particular manufactured part is 5.4523
cm. Quality control randomly selects four of the parts, and the lengths are measured by four
different quality control technicians. The measurements are 5.3234 cm, 5.11259 cm, 5.351 cm,
and 5.45 cm. Which measurement is the most accurate?
A) 5.3234
B) 5.11259
C) 5.351
D) 5.45
Solve the problem.
15) Humanities majors spend an average of $125 per course on books. Mathematics majors spend
an average of $65 per course on books. What is the percent difference between the two
amounts relative to the amount for mathematics majors (round to the nearest percent)?
A) -48%
B) 92%
C) 48%
D) -92%
Fill in the blank. Explain your reasoning.
16) If a motorcycle weighs 30% less than a car, then the motorcycleʹs weight is % of the carʹs
weight.
A) 130%; The motorcycle weighs 100% of the carʹs weight plus another 30%.
B) -30%; The motorcycle weighs -30% of the carʹs weight.
C) 30%; The motorcycle weighs 30% of the carʹs weight.
D) 70%; The motorcycle weighs 100% of the carʹs weight minus 30% of the carʹs weight.
14)
15)
16)
Identify the distribution as symmetric, left-skewed, or right-skewed.
17) Exam scores for an exam in which most students did very well but a few students failed
A) Right-skewed
B) Left-skewed
C) Symmetric
17)
Find the range for the given data.
18) Rich Borne is currently taking Chemistry 101. On the five laboratory assignments for the
quarter, he got the following scores.
18)
29 32 18 44 58
A) 40
B) 58
C) 3
D) 18
Solve the problem.
19) The following data set is the GPAʹs of the students in a statistics class.
1.93, 1.99, 2.00, 2.04, 2.12, 2.34, 2.55, 2.55, 2.75, 2.75, 2.80, 2.80, 2.85, 3.02, 3.12, 3.22, 3.31, 3.33, 3.45, 3.69
What value is the 25th percentile?
A) 1.99
B) 3.12
C) 2.12
D) None of the above
Use the range rule of thumb to estimate the standard deviation to the nearest tenth.
20) 2, 6, 15, 9, 11, 22, 1, 4, 8, 19
A) 6.8
B) 6.3
C) 5.3
D) 2
A-3
19)
20)
Answer Key
Testname: UNTITLED1
1) D
2) B
3) C
4) C
5) B
6) C
7) A
8) D
9) B
10) A
11) A
12) B
13) B
14) D
15) B
16) D
17) B
18) A
19) C
20) C
A-4