Exam 6: Gathering Useful Data for Examining Relationships
Exam 1: Statistics Success Stories and Cautionary Tales79 Questions
Exam 2: Turning Data Into Information94 Questions
Exam 3: Relationships Between Quantitative Variables99 Questions
Exam 4: Relationships Between Categorical Variables100 Questions
Exam 5: Sampling: Surveys and How to Ask Questions109 Questions
Exam 6: Gathering Useful Data for Examining Relationships90 Questions
Exam 7: Probability112 Questions
Exam 8: Random Variables115 Questions
Exam 9: Understanding Sampling Distributions: Statistics As Random Variables231 Questions
Exam 10: Estimating Proportions With Confidence104 Questions
Exam 11: Estimating Means With Confidence103 Questions
Exam 12: Testing Hypotheses About Proportions139 Questions
Exam 13: Testing Hypotheses About Means166 Questions
Exam 14: Inference About Simple Regression115 Questions
Exam 15: More About Inference for Categorical Variables111 Questions
Exam 16: Analysis of Variance111 Questions
Exam 17: Turning Information Into Wisdom70 Questions
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You wish to study the effect of a tutoring program to help improve student grades in an introductory statistics course.
-Propose a matched-pairs study design to answer the question.
(Short Answer)
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Decide if the study is an observational study or an experiment.
-A medicine to remove the redness in eyes was tested in a group of 100 students. Each student took the medicine in one eye and a placebo in the other eye. The eye (left or right) that received the placebo was decided by flipping a coin.
(Multiple Choice)
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When subjects receive subtle cues from the researchers about what outcomes are expected, the effect is called
(Multiple Choice)
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When the results of a study on adults is applied to children, the effect is called
(Multiple Choice)
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A study of changing speed limits in the United States finds no evidence that higher limits fuel more deaths. A scientist examined shifts in speed limit laws over the past few decades. Highway speed limits were initially throttled in the 1970s in response to the gas shortage. In the 1980s the focus shifted to public safety. Yet in 1995, Congress returned all speed limit authority back to the states, and many states raised their top highway speeds. While limits ranged from 75 mph to 55 and back again, no significant increase in fatalities per mile driven are evident. In fact, from 1968 to 1991, the fatality rate per 100 million miles declined by 63.2 percent. The scientist attributes the decrease to safer cars, increased use of seat belts, an increase in the minimum legal drinking age, and better road maintenance. "Automobile safety features and enforcement emerge as important factors in increasing highway safety,"the scientist contends. "Speed limits are far less important."
-In the study "safer cars, increased use of seat belts, an increase in the minimum legal drinking age, and better road maintenance" are mentioned as reasons for a decline in the fatality rate between 1968 and 1991. What do we call these 4 variables?
(Multiple Choice)
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A study was conducted to compare the grade point averages (GPAs) of male and female students majoring in Psychology. In this study
(Multiple Choice)
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A researcher is studying the relationship between sugar consumption and weight gain. Twelve volunteers were randomly assigned to one of two groups. The first group had five participants which were put on a diet low in sugar and the other group with the remaining seven participants received 10% of their calories from sugar. After 8 weeks, weight gain was recorded from each participant.
-Which variable is the response variable in this study?
(Multiple Choice)
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Research is done to see whether taking oral contraceptives increases women's blood pressures. The blood pressures of women who take oral contraceptives are compared to the blood pressures of women who do not take oral contraceptive. A complicating factor is that the women who take oral contraceptives tend to be younger than the others. This must be taken into account because blood pressure increases with age.
-Which variable is a confounding variable in this study?
(Multiple Choice)
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Decide if the study is an observational study or an experiment.
-A study compared the IQ from children whose mothers smoked to the IQ from children whose mothers didn't smoke.
(Multiple Choice)
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A researcher designed a study to assess whether grades in a statistics course could be improved by using a new teaching technique. The 250 students enrolled in a large introductory statistics class are also enrolled in one of 20 lab sections. The 20 lab sections are randomly divided into 2 groups of 10 lab sections each. The students in the first set of 10 lab sections are taught by this "new" method. The students in the remaining 10 lab sections are taught using the "old" techniques. The grades at the end of the term are then compared. Assume that the students do not know if the method they are being taught with is the old or the new method.
-What type of study is described above? Explain your answer.
(Essay)
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For each relationship (conclusions from one or more studies), define what the response and explanatory variables are.
-Listening to Mozart raised non-verbal IQ scores an average of 8 to 9 points higher than listening to relaxation tapes.
(Short Answer)
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Decide if the study is an observational study or an experiment.
-One hundred adults who had either Type 1 or Type 2 diabetes were randomly divided into 2 groups to determine if the inhalable version of insulin is able to manage blood sugar levels just as well as injected insulin.
(Multiple Choice)
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An experiment is usually preferred to an observational study because
(Multiple Choice)
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An observational study has found that drivers who report that they routinely wear a seatbelt were less likely to have been given a traffic ticket for speeding in the past three years.
-Of the following, which is the most likely explanation for this observed relationship?
(Multiple Choice)
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You wish to study the effect of a tutoring program to help improve student grades in an introductory statistics course.
-Propose an experimental study design to answer the question.
(Short Answer)
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A large international trial recruited 7,000 healthy women and randomly assigned them to receive either tamoxifen or a placebo. The women were followed for a number of years and the breast cancer rates were compared between the two groups. Neither the women nor the treating physicians knew which treatment the women were actually receiving. Which of the following does not apply to this study?
(Multiple Choice)
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Fifty university students are randomly chosen from the college campus. Their physical fitness routines and academic performance will be assessed. They are asked to maintain a diary over a semester to record their physical activity (i.e. work-outs) every week. At the end of this semester their GPA is recorded as well. The resulting information is categorized per student into two variables: physical activity (recorded as "above average", "average", or "below average") and that semester's GPA. The primary interest of the research project is to understand if physical activity promotes better academic performance.
-What type of study is this?
(Multiple Choice)
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Research is done to see whether taking oral contraceptives increases women's blood pressures. The blood pressures of women who take oral contraceptives are compared to the blood pressures of women who do not take oral contraceptive. A complicating factor is that the women who take oral contraceptives tend to be younger than the others. This must be taken into account because blood pressure increases with age.
-Which variable is the response variable in this study?
(Multiple Choice)
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Researchers would like to compare meditation and exercise to see which is more effective for reducing stress. One hundred people who suffer from high stress volunteer to participate in a study for ten weeks. Participants will either be given a 10-week course in meditation or will participate in a 10-week exercise program. The researchers must decide whether to randomly assign the volunteers to the two programs, or allow them to choose.
-Which of the following is an advantage of allowing participants to choose the program in which to participate?
(Multiple Choice)
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