i. What are the factors in this experiment? ii. For each factor, what are the factor levels? iii. What are the treatments in this experiment?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section: Chapter Questions
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1. Consider an experiment in which researchers investigate the effects of paper color on exam
performance in undergraduate college students. Two exams, one with an easier level of diffi-
culty and one with a harder level of difficulty, are prepared for this experiment. For the exam
of each difficulty level, 10 copies are printed on blue-colored paper and 10 copies are printed
on red-colored paper (for a total of 40 printed exams). These exams are randomly distributed
to 40 students in an undergraduate psychology course. Below are the sample mean exam
scores (in points out of 100) for the 10 students in each group represented by a paper color
and exam difficulty.
Exam Difficulty
Easier
Harder
Blue
84.1
75.2
Paper Color
Red
83.4
64.5
a. Answer the following questions regarding the design of this experiment.
i. What are the factors in this experiment?
ii. For each factor, what are the factor levels?
iii. What are the treatments in this experiment?
iv. What is the experimental unit in this experiment?
v. What is the response variable in this experiment?
vi. Is randomization implemented in this design? Justify your answer.
vii. Is replication implemented in this design? Justify your answer.
viii. Is blocking implemented in this design? Justify your answer.
Transcribed Image Text:1. Consider an experiment in which researchers investigate the effects of paper color on exam performance in undergraduate college students. Two exams, one with an easier level of diffi- culty and one with a harder level of difficulty, are prepared for this experiment. For the exam of each difficulty level, 10 copies are printed on blue-colored paper and 10 copies are printed on red-colored paper (for a total of 40 printed exams). These exams are randomly distributed to 40 students in an undergraduate psychology course. Below are the sample mean exam scores (in points out of 100) for the 10 students in each group represented by a paper color and exam difficulty. Exam Difficulty Easier Harder Blue 84.1 75.2 Paper Color Red 83.4 64.5 a. Answer the following questions regarding the design of this experiment. i. What are the factors in this experiment? ii. For each factor, what are the factor levels? iii. What are the treatments in this experiment? iv. What is the experimental unit in this experiment? v. What is the response variable in this experiment? vi. Is randomization implemented in this design? Justify your answer. vii. Is replication implemented in this design? Justify your answer. viii. Is blocking implemented in this design? Justify your answer.
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