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Some research situations are summarized below.For each situation,identify all variables and characterize them in terms of level of measurement and whether they are discrete or continuous.If applicable,identify which variables are dependent and which are independent.Explain your reasoning.What statistical application is being used? A)A group of one hundred students are asked for their high school and college GPAs. The GPAs are then compared to see if there is any relationship between them. B)A candidate for student body president telephones a randomly selected sample of students and asks about their opinion of the system used for course evaluation. Each student is asked if they strongly support, moderately support, or do not support the system. The candidate then uses this information to characterize the opinions of the entire student body C)From what regions of the nation does the college football program recruit players? A researcher ascertains the hometowns of every member of the team for the past ten years. D)Which sport on campus has the players with the highest GPAs? The academic records of randomly selected samples of athletes from all sports are compared to answer this question. E)Is academic achievement associated with any "background" variables? Information on a sample of students is collected. The information includes GPA, age, sex, major, years of schooling completed by both parents, and marital status of the student.

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a.The variables are HS and college GPAs,...

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Variables measured at the ordinal level are limited to which of the following mathematical operations?


A) addition and subtraction
B) multiplication
C) ranking cases as higher or lower,more or less
D) counting the number of cases per category

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"Ninety percent of dorm residents approved a proposed ban on smoking." This statement is an example of the use of


A) inferential statistics.
B) univariate descriptive statistics.
C) multivariate descriptive statistics.
D) inductive statistics.

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Select the variable(s) that can be measured at the interval-ratio level


A) different types of crimes
B) number of children in a family
C) attractiveness of a person
D) emotional stability

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Which of the following questions would generate a continuous variable?


A) How old are you?
B) How many books do you own?
C) How many times have you ever changed a flat tire?
D) How many degrees do you have?

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In social research,the purpose of statistics is to


A) prove that the research theory is correct.
B) validate the research project design.
C) manipulate and analyze data.
D) ensure acceptance by the scientific community.

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According to the "Wheel of Science," research projects begin


A) with theory.
B) with data.
C) with an hypothesis.
D) at any stage on the Wheel.

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Which of the following mathematical operations are permitted with interval-ratio level variables?


A) addition
B) subtraction
C) division
D) all of the above

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Summarize the research process as conceptualized in the "Wheel of Science." Identify and explain each of the stages of the research process.At what stage do statistics become central? How? What is the role of statistics in the process?

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In the research process,the role of statistics is limited because


A) numbers don't prove anything.
B) of possible flaws in research design or method.
C) the researcher may not be a mathematician.
D) people lie when answering questionnaires.

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Below are some items from a survey.For each item,identify the level of measurement and whether the variable will be discrete or continuous.Explain your reasoning for each item. Below are some items from a survey.For each item,identify the level of measurement and whether the variable will be discrete or continuous.Explain your reasoning for each item.

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a.nominal, discrete
b.interval...

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Which of the following survey items would generate a discrete variable?


A) How old are you?
B) How long does it take you to commute to work?
C) How much did you pay in taxes last year?
D) How many cars do you own right now?

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Which of the following is a continuous variable?


A) number of children
B) time spent watching TV
C) number of times you have changed residences within the last five years
D) number of meals you consumed yesterday.

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Computation of a mean (or average) is completely justified when a variable is measured at which level?


A) interval-ratio
B) ordinal
C) nominal
D) discrete

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Which of the following is NOT a nominal level variable?


A) level of education
B) zip code
C) occupation
D) make of auto

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Inferential statistics are necessary in social research because


A) it may be impossible to find all members of a certain population.
B) social scientists don't have the time or money to test an entire population.
C) some of the population might not cooperate.
D) samples are sometimes accurate representations of the population but can't always be used to generalize.

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If people who habitually drive over the speed limit have more fatal accidents,then speed is


A) an independent variable.
B) the dependent variable.
C) an effect or result variable.
D) none of the above

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The number of years that a couple has been happily married is an example of


A) nominal level datA.
B) ordinal level data.
C) interval-ratio level data.
D) ordinary level data.

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A nominal-level variable like marital status or gender is always


A) discrete.
B) continuous.
C) ordinal.
D) dependent.

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When using interval-ratio data,the distance between the scores is


A) always two units.
B) unequal.
C) exactly defined.
D) not always clear.

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