Research Methods for Behavioral Sciences - With MindTap
6th Edition
ISBN: 9781337754989
Author: GRAVETTER
Publisher: CENGAGE L
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Chapter 8, Problem 5E
Briefly explain how a participant characteristic, such as personality, could be a confounding variable in a between subjects experiment.
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1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a
random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution
depend on the mean and variance of the underlying random variables (i.e., the population
mean and variance). The approximation can be written to emphasize this, using the expec-
tation and variance of one of the random variables in the sample instead of the parameters
μ, 02:
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(EY,, varyi
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For the following population distributions f, write the approximate distribution of the sample
mean.
(a) Exponential with rate ẞ: f(y) = ß exp{−ßy}
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(b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ }
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(c) Poisson with rate λ: P(Y = y) = exp(-\}
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y!
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2. Let Y₁,……., Y be a random sample with common mean μ and common variance σ². Use the
CLT to write an expression approximating the CDF P(Ỹ ≤ x) in terms of µ, σ² and n, and
the standard normal CDF Fz(·).
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Chapter 8 Solutions
Research Methods for Behavioral Sciences - With MindTap
Ch. 8.1 - Describe, compare, and contrast the defining...Ch. 8.1 - Explain the general advantages and disadvantages...Ch. 8.2 - Define individual differences and explain how...Ch. 8.3 - Identify the three primary techniques for limiting...Ch. 8.4 - Describe how individual differences influence...Ch. 8.4 - Identify the options for reducing or controlling...Ch. 8.5 - Describe how differential attrition and...Ch. 8.6 - Describe how between-subjects designs are used to...Ch. 8 - In addition to the key words, you should also be...Ch. 8 - At the beginning of this chapter (p. 186) we...
Ch. 8 - In a between-subjects design, each individual...Ch. 8 - A researcher has a sample of 30 rats that are all...Ch. 8 - Briefly explain how a participant characteristic,...Ch. 8 - Explain the advantages and disadvantages of using...Ch. 8 - A recent survey at a major corporation found that...Ch. 8 - Describe how individual differences can produce...Ch. 8 - Explain how holding a participant variable such as...Ch. 8 - Describe some of the problems that can arise when...Ch. 8 - Describe the advantages of a two-group design...Ch. 8 - Identify the advantages of a multiple-group design...
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