Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Textbook Question
Chapter 15.1, Problem 1E
Give as much information as you can about the P-value for the Wilcoxon test in each of the following situations.
- a. n = 12, upper-tailed test, s+ = 56
- b. n = 12, upper-tailed test, s+ = 62
- c. n = 12, lower-tailed test, s+ = 20
- d. n = 14, two-tailed test, s+ = 21
- e. n = 25. two-tailed test, s+ = 300
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A researcher predicts that scores in treatment A will be higher than scores in treatment B. If the mean for the 10 participants in treatment A is 4 points higher than the mean for the 10 participants in treatment B and the data produced t = 2.095 What decision should be made?
Choose one
a. With an alpha = .05 reject the null for either a one tail or two tails
b. With an alpha = .05 fail to reject the null for either a one tail or two tails
c. With an alpha = .05 reject the null for one tail but fail to reject with two tails
d. With an alpha = .05 reject the null for two tails but fail to reject for a one tail
The test statistic of z = 2.22 is obtained when testing the claim that p ne0.492. a . Identify the hypothesis test as being two-tailed, left-tailed, or right- tailed b. Find the P-value. c . Using a significance level of alpha = 0.01 , should we reject H_{0} or should we fail to reject H_{0} ?
From the following statistics, test with the Wilcoxon Rank Sum test and a level of significance of 5% to determine whether the location of population 1 is to the right of the location of population 2.
T1=1205; n1=27
T2=1280; n2=29
The test statistic (using T=T1) and the decision for this test are:
1
Z=11.01 and the null hypothesis is not rejected
2
Z=11.01 and the null hypothesis is rejected
3
Z=7.14 and the null hypothesis is rejected
4
Z=7.14 and the null hypothesis is not rejected
Chapter 15 Solutions
Probability and Statistics for Engineering and the Sciences
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