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Solved: Specify the test statistic and the rejection
Chapter 15, Problem 29E(choose chapter or problem)
Specify the test statistic and the rejection region for the Wilcoxon signed rank test for the paired difference design in each of the following situations:
a. n = 30, \(\alpha\) = .10 \(H_0\): Two probability distributions, 1 and 2, are identical \(H_a\): Probability distribution for population 1 is shifted to the right or left of probability distribution for population 2
b. n = 20, \(\alpha\) = .05 \(H_0\): Two probability distributions, 1 and 2, are identical \(H_a\): Probability distribution for population 1 is shifted to the right of the probability distribution for population 2
c. n = 8, \(\alpha\) = .005 \(H_0\): Two probability distributions, 1 and 2, are identical \(H_a\): Probability distribution for population 1 is shifted to the left of the probability distribution for population 2
Questions & Answers
QUESTION:
Specify the test statistic and the rejection region for the Wilcoxon signed rank test for the paired difference design in each of the following situations:
a. n = 30, \(\alpha\) = .10 \(H_0\): Two probability distributions, 1 and 2, are identical \(H_a\): Probability distribution for population 1 is shifted to the right or left of probability distribution for population 2
b. n = 20, \(\alpha\) = .05 \(H_0\): Two probability distributions, 1 and 2, are identical \(H_a\): Probability distribution for population 1 is shifted to the right of the probability distribution for population 2
c. n = 8, \(\alpha\) = .005 \(H_0\): Two probability distributions, 1 and 2, are identical \(H_a\): Probability distribution for population 1 is shifted to the left of the probability distribution for population 2
ANSWER:Step 1 of 6
a) For the given information we have sample size n = 30.
Here the sample size n is greater than 25, so we have to use Wilcoxon signed rank.
test for large samples.
Level of significance 
Null Hypothesis:
probability distribution for population.