Research Methods for the Behavioral Sciences (MindTap Course List)
6th Edition
ISBN: 9781337613316
Author: Frederick J Gravetter, Lori-Ann B. Forzano
Publisher: Cengage Learning
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Textbook Question
Chapter 7.2, Problem 4LO
Explain why manipulation of an independent variable is a critical component of an experiment.
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28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
Chapter 7 Solutions
Research Methods for the Behavioral Sciences (MindTap Course List)
Ch. 7.1 - Describe the general purpose of an experimental...Ch. 7.1 - Define independent, dependent, and extraneous...Ch. 7.1 - Describe the third-variable problem and the...Ch. 7.2 - Explain why manipulation of an independent...Ch. 7.2 - Explain why control of extraneous variables is a...Ch. 7.2 - Explain how an extraneous variable can become a...Ch. 7.3 - Describe the three primary techniques for...Ch. 7.4 - Describe the purpose for control conditions in...Ch. 7.4 - Explain when a manipulation check is needed,...Ch. 7.4 - Define field studies and simulation, explain why...
Ch. 7 - In addition to the key words, you should also be...Ch. 7 - Dr. Jones conducted a study examining the...Ch. 7 - In an experiment examining human memory, two...Ch. 7 - It has been demonstrated that students with high...Ch. 7 - A researcher would like to compare two methods for...Ch. 7 - Define extraneous variable and explain how...Ch. 7 - Identify the two characteristics needed for a...Ch. 7 - Identify the two active methods of preventing...Ch. 7 - Explain how the process of randomly assigning...Ch. 7 - Can a research study be an experiment without a...Ch. 7 - What is the general purpose of a manipulation...Ch. 7 - What is the general purpose for using a simulation...
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- 19. Let X be a non-negative random variable. Show that lim nE (IX >n)) = 0. E lim (x)-0. = >arrow_forward(c) Utilize Fubini's Theorem to demonstrate that E(X)= = (1- F(x))dx.arrow_forward(c) Describe the positive and negative parts of a random variable. How is the integral defined for a general random variable using these components?arrow_forward
- 26. (a) Provide an example where X, X but E(X,) does not converge to E(X).arrow_forward(b) Demonstrate that if X and Y are independent, then it follows that E(XY) E(X)E(Y);arrow_forward(d) Under what conditions do we say that a random variable X is integrable, specifically when (i) X is a non-negative random variable and (ii) when X is a general random variable?arrow_forward
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