Exam 1: Introduction

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When using interval-ratio data, the distance between the scores is________.

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C

Which of the following can be treated as an interval-ratio variable?

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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. In situation A, the variables are High School GPA and College GPA. Both of these variables are continuous and measured at the interval level. The High School GPA is the independent variable, and the College GPA is the dependent variable. The statistical application being used is a correlation analysis to determine if there is a relationship between the two GPAs.

b. In situation B, the variable is the opinion of the students on the course evaluation system, which is measured at the ordinal level as it has three categories: strongly support, moderately support, and do not support. This variable is discrete. The statistical application being used is inferential statistics to generalize the opinions of the entire student body based on the sample data.

c. In situation C, the variable is the hometowns of the college football players, which is measured at the nominal level and is discrete. There are no dependent or independent variables in this situation. The statistical application being used is descriptive statistics to summarize the recruitment patterns.

d. In situation D, the variable is the GPA of the players in different sports, which is continuous and measured at the interval level. There are no dependent or independent variables in this situation. The statistical application being used is comparative statistics to determine which sport has the players with the highest GPAs.

e. In situation E, the variables are GPA, age, sex, major, years of schooling completed by both parents, and marital status of the student. GPA is continuous and measured at the interval level, while age, years of schooling completed by both parents, and marital status are discrete and measured at the ordinal level. Sex and major are nominal and discrete. The dependent variable is academic achievement, and the independent variables are the background variables. The statistical application being used is regression analysis to determine the association between academic achievement and the background variables.

A researcher wants to know if there is a relationship between region of birth and political party affiliation. She should calculate a________.

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A hypothesis states, in part, that "income increases as education increases". In this statement, income is________.

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In addition to saying that one case is different from another, the ordinal level of measurement allows us to________.

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Interval-ratio measurements can be all of the following except:

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

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

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Inferential statistics are necessary in social research because________.

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Inferential statistics are usually based on:________.

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In social research the purpose of statistics is to________.

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A survey administered to a sample drawn from a local community finds that a person's political party affiliation is related to whether or not the individual favors an increase in local sales tax (the headline of a newspaper story based on this poll reads: "Republicans support proposed tax increase"). This is an example of the use of________.

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During which stage does the Wheel of Science begin for a researcher undertaking a new study?

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A researcher has numbered all 50 states from 1 to 50 and has calculated a mean of 17.43 for the variable "state of birth."

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Measures of association allow researchers to quantify the ________ of a relationship.

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On a test, the numbers used to identify the questions would be __________ in level of measurement while the number of correct responses would be _____________.

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In terms of the Wheel of Science, a hypothesis is derived from _________ and leads to ___________.

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Which of the following mathematical operations are permitted with nominally measured variables?

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Interval-ratio relationships can be all of the following except________.

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