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Chapter 10: Q. 5 (page 446)

Explain one possible advantage of using a paired sample instead of independent samples.

Short Answer

Expert verified

An explanation of the possible advantage is given.

Step by step solution

01

Given Information

To explain one possible advantage of using a paired sample instead of independent samples.

02

Explanation

An extraneous source of variation can be eliminated in a paired sample.

The sampling error made in estimating differences between population means will be smaller, and it will be more likely to explore the difference between population means when such a difference exists.

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Most popular questions from this chapter

Provide an example (different from the ones considered in this section) of a procedure based on a paired sample being more appropriate than one based on independent samples.

Suppose that you want to perform a hypothesis test to compare the means of two populations, using independent simple random samples. Assume that the two distributions (one for each population) of the variable under consideration are normally distributed and have equal standard deviations. Answer the following questions and explain your answers.

a. Is it permissible to use the pooled t-test to perform the hypothesis test?

b. Is it permissible to use the Mann-Whitney test to perform the hypothesis test?

c. Which procedure is preferable, the pooled t-test or the Mann-Whitney test?

Refer to Exercise 10.85and determine a98%confidence interval for the difference between the mean dopamine activities of psychotic and nonpsychotic patients.

Suppose that you want to perform a hypothesis test to compare the means of two populations, using a paired sample. For each part, decide whether you would use the paired t-test, the paired Wilcoxon signed-rank test, or neither of these tests if preliminary data analyses of the sample of paired differences suggest that the distribution of the paired-difference variable is

a. uniform.

b. neither symmetric nor normal; the sample size is 132.

c. moderately skewed but otherwise roughly bell-shaped.

Gender and Direction. Refer to Exercise 10.46 and obtain a 98% confidence interval for the difference between the mean absolute pointing errors for males and females.
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