Statistics in a Modern World 800
Homework 2 NAME:_________________________________
Homework 2 Exercises Assigned from Chapters 4-5 (29 pts.) due Fri. Sept. 18
in Lecture.
CHAPTER 4
#7 (6 pts.) For each of the following situations, CIRCLE the word
or words that tell you what constitutes the POPULATION; UNDERLINE the
word or words that tell what constitutes the SAMPLE. Then indicate what
type of sample was used.
- To survey the opinions of its customers, an airline company made
a list of all its flights and randomly selected 25 flights. All of the
passengers on those flights were asked to fill out a survey.
[Circle one:
- simple random sample
- stratified
- cluster
- systematic
- multistage
- volunteer
- convenience or haphazard
]
- A large variety store wanted to know if consumers would be
willing to pay slightly higher prices to have computers available
throughout the store to help them locate items. The store posted an
interviewer at the door and told her to collect a sample of 100 opinions
by asking the next person who came in the door each time she had
finished an interview. [Circle one: (i) simple random sample (ii)
stratified (iii) cluster (iv) systematic (v) multistage (vi) volunteer
(vii) convenience or haphazard]
#12 (1 pt.) Which is worse, a volunteer response (low response rate)
or a volunteer sample?
#20 (1 pt.) Suppose that a gourmet food magazine wants to know how
its readers feel about serving beer with various types of food. The
magazine sends surveys to 1000 randomly selected readers. Which one of
the "difficulties and disasters" in sampling, p.69, is the
magazine most likely to face? (Circle it) 1. Using the wrong sampling
frame 2. Not reaching the individuals selected 3. Getting no response
or getting a volunteer response 4. Getting a volunteer sample 5. Using
a convenience or haphazard sample
CHAPTER 5
#4 (3 pts.) "Graduating is good for your health," according to
a headline in the Boston Globe. The article noted, "According to the Center
for Disease Control, college graduates feel better emotionally and physically
than do high school dropouts." The headline was based
on a study in which a representative sample of over 400,000 adults in
the U.S. were asked a series of questions, including level of education
and on how many of the past 30 days they felt physically and emotionally
healthy.
- For this study, what was the intended explanatory
variable---education or health?
What was the intended response variable---education or health?
- Which one of the three "difficulties and disasters in
observational studies" p.96 is most worrisome? 1. Confounding
variables and the implications of causation 2. Extending the results
inappropriately 3. Using the past as a source of data (Circle one.)
#6. (1 pt.) Suppose researchers were interested in determining the
relationship, if any, between brain cancer and the use of cellular
telephones. Which would be better? (a) an experiment; or (b) a
case-control study (Circle one.)
#7. (1 pt.) Researchers have found that women who take oral
contraceptives (birth control pills) are at higher risk of having a
heart attack or stroke and that the risk is substantially higher if a
woman smokes. In investigating the relationship between taking oral
contraceptives (the explanatory variable) and having a heart attack or
stroke (the response variable), smoking would be called (a) a
confounding variable; or (b) an interacting variable (Circle one.)
#12 (3 pts.) Suppose you wanted to know if men or women students
spend more money on clothes. You consider two different plans for
carrying out an observational study: Plan 1: Ask the participants how
much they spent on clothes during the last 3 months; then compare the
men and women. Plan 2: Ask the participants to keep a diary in which
they record their clothing expenditures for the next 3 months; then
compare the men and women.
- Which of these plans is a retrospective study? Circle one: Plan 1
or Plan 2
- What term is used for the other plan?
- Which of the difficulties and disasters p.96 would apply most to
Plan 1? Circle it:
- Confounding variables and the implications of causation
- Extending the results inappropriately
- Using the past as a source of data.
#13 (4 pts.) Suppose an observational study finds that people who
use public transportation to get to work have better knowledge of
current affairs than those who drive to work, but that the relationship
is weaker for well-educated people. Label each of the following as
being Explanatory, Response, Confounding, or Interacting variable:
- Method of getting to work ; Circle one: E R C I
- Knowledge of current affairs; Circle one: E R C I
- Level of education; Circle one: E R C I
- Whether the participant reads a daily newspaper; Circle one: E R
C I
#15 (6 pts.) A headline in the SACRAMENTO BEE
read, "Study: Daily drink cuts death" and the article began
with the statement, "One drink a day can be good for health,
scientists are reporting, confirming earlier research in a new study
that is the largest to date of the effects of alcohol consumption in the
U.S." The article also noted that "most subjects were white,
middle-class and married, and more likely than the rest of the
U.S. population to be college-educated."
- Explain briefly
why this study could not have been an experiment.
- Is the headline justified? Answer yes or no.
- The study was based on recording drinking habits for the 490,000
participants in 1982, and then noting death rates for the next 9 years.
Thus, it was a (i)retrospective (ii)prospective study. (Circle one.)
- Circle any of the difficulties and disasters in observational
studies p.96 that apply (there may be more than one): 1. Confounding
variables and the implications of causation. 2. Extending the
results inappropriately 3. Using the past as a source of data
#20 (1 pt.) In which of the following is the "experimenter
effect" most likely to be present? (circle one): (a) a double-blind
experiment (b) a single-blind experiment; or (c) an experiment with no
blinding
CHAPTER 4
#17 (2 pts.) Identify each of the following studies as a Survey,
Experiment, Observational study, or Case study:
- People who are trying to stop smoking have chosen one
of two methods: undergoing hypnosis or applying nicotine patches. The
percentages who quit are compared for the two methods. Circle one: S E O C
- A large company wants to compare two incentive plans for
increasing sales. The company randomly assigns a number of its sales
staff to receive each kind of incentive and compares the average change
in sales of the employees under the two plans. Circle one: S E O C
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