Quantitative Reasoning Chapter 5 & 6., Exams of Quantitative Techniques

Quantitative Reasoning Chapter 5 & 6.

Typology: Exams

2024/2025

Available from 09/12/2024

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Quantitative Reasoning Chapter 5 & 6
You conduct a poll in which you randomly select 1000 registered voters from Texas and ask if they
approve of the job their governor is doing. The population for this study is -
all registered voters in the state of Texas
Results of the poll described in Question 1 would most likely suffer from bias if you chose the
participants from -
people who donated money to the governor's campaign
When we say that a sample is representative of the population, we mean that -
the results found for the sample are similar to those we would find for the entire
population
A poll concerning support for mass transit is conducted by interviewing people in 100 large cities,
with 25 people randomly selected to be interviewed in each of those cities. What type of sampling
was used? -
stratified sampling
Consider an experiment designed to test whether cash incentives improve school attendance. The
researcher chooses two groups of 100 high school students. She offers one group $10 for every week
of perfect attendance. She tells the other group that they are part of an experiment but does not
give them any incentive. The students who do not receive an incentive represent -
the control group
The experiment described in question 5 is -
not blinded at all
The purpose of a placebo is -
to prevent participants from knowing whether they belong to the treatment group or the
control group
An experiment is single-blind if -
the participants do not know whether they belong to the treatment or the control group
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Quantitative Reasoning Chapter 5 & 6

You conduct a poll in which you randomly select 1000 registered voters from Texas and ask if they approve of the job their governor is doing. The population for this study is - all registered voters in the state of Texas Results of the poll described in Question 1 would most likely suffer from bias if you chose the participants from - people who donated money to the governor's campaign When we say that a sample is representative of the population, we mean that - the results found for the sample are similar to those we would find for the entire population A poll concerning support for mass transit is conducted by interviewing people in 100 large cities, with 25 people randomly selected to be interviewed in each of those cities. What type of sampling was used? - stratified sampling Consider an experiment designed to test whether cash incentives improve school attendance. The researcher chooses two groups of 100 high school students. She offers one group $10 for every week of perfect attendance. She tells the other group that they are part of an experiment but does not give them any incentive. The students who do not receive an incentive represent - the control group The experiment described in question 5 is - not blinded at all The purpose of a placebo is - to prevent participants from knowing whether they belong to the treatment group or the control group An experiment is single-blind if - the participants do not know whether they belong to the treatment or the control group

Poll X predicts that Powell will receive 49% of the vote, while Poll Y predicts that he will receive 52% of the vote. Both polls have a margin of error of 3 percentage points. What can you conclude? - the two polls are consistent with each other A survey reveals that 12% of Americans believe Elvis is still alive, with a margin of error of 4 percentage points. The confidence interval for this poll is - from 8% to 16% You read about an issue that was the subject of an observational study when it clearly should have been investigated with a double-blind experiment. The results from the observational study are therefore - essentially meaningless A study conducted by the oil company British Petroleum shows that there was no lasting damage from a large oil spill in Gulf of Mexico. This conclusion - may be correct, but the potential for bias means that you should look very closely at how the conclusion was reached Consider a study designed to learn about the social networks of first-year college students in the United States, in which researchers randomly interviewed students living on campus dormitories. The way this sample was chosen means the study will suffer from - selection bias The show The Voice selects winners based on votes cast by anyone who wants to vote. This means that the winner - may or may not be the person most Americans want to win, because the voting is subject to participation bias Consider an experiment in which you measure the weights of 6-year-olds. The variable of interest in this study is - the weights of 6-year-olds Consider a survey in which 1000 people are asked "how often do you go to the dentist during a year?" The variable of interest in this study is -

a bar graph In the table of tourist attractions and visitors from question 5, where should you put the names of the ten tourist attractions? - they should be listed along the horizontal axis You have a list of the GPAs of 100 college graduates, precise to the nearest 0.001. You want to make a frequency table for these data. A good first step would be to - group all the data into bins with widths of 0.2 of a grade point You have a list of the average gasoline price for each month during the past year. Which type of display would be most appropriate for these data? - a line chart A histogram is - a bar graph for quantitative data You have a histogram and you want to convert it into a line chart. A good first step would be to - place a dot at the top of each bar, in the center of the bar When we say that X is correlated with Y, we mean that - increasing values of X are consistently associated with either increasing or decreasing values of Y If the points on a scatterplot fall on a nearly straight line sloping downward, the two variables have - a strong negative correlation If the points on a scatterplot fall into a broad swath that slopes upward, the two variables have - a weak positive correlation When can you rule out the possibility that changes to variable X cause changes to variable Y? - when there is no correlation between X and Y

What type of correlation would you expect between exercise and body mass index (a measure of how much body fat a person has relative to his or her height and weight)? - negative: more exercise would be consistently associated with lower body mass index You have found a higher rate of birth defects among babies born to women exposed to second-hand smoke. Which of the following should you also expect to find if the second-hand smoke caused the birth defects? - higher rates of these birth defects are correlated with exposure to greater amounts of smoke Which of the following statements best describes the correlation between accidents and texting while driving? - texting while driving is a likely cause of accidents A finding by a jury that a person is guilty "beyond reasonable doubt" is supposed to mean that - any reasonable person would conclude that the evidence was sufficient to establish guilt You want to find the median weight of 51 pumpkins. What do you need to do? - list the pumpkin weights in increasing order and find the weight of the pumpkin in the middle On an astronomy exam, 20 students score below 79 and 25 students score above 79. The median score is - greater than 79 One hundred students take a chemistry exam. All but two of the students score between 50 and 70 points, but one student gets a 21 and one student gets a 98. The scores of 21 and 98 represent - outliers Twenty students take a political science exam. Eighteen score between 70 and 75, and two score 100. What can you conclude? - the mean is higher than the median

Is it possible for a distribution to have a mean that is lower than its lower quartile? - yes, but only if there are outliers at low values Suppose you are given the mean and just one data value from a distribution. What can you calculate? - the deviation for the single data value The standard deviation is best described as a measure of - the spread of the data values around the mean What type of data distribution has a negative standard deviation? - none--the standard deviation cannot be negative For any distribution, it is always true that - the range is at least as large as the standard deviation Which data set would you expect to have the highest standard deviation? - heights of all elementary school children Professors Smith, Jones, and Garcia all received the same mean grade of 2.7 (a B-) on their student evaluations last semester. The standard deviations were 0.2 for Smith, 0.5 for Jones, and 1.1 for Garcia. Which professor received grades above the mean from the most students? - Garcia A histogram is -