Unformatted text preview: e, thickness
measurements are periodically taken at four different locations on the window. 15 subgroups
were observed and each subgroup consists of the four thickness measurements taken across
the windows at a particular time with the following results: mean of the means =
= 50.05
and the average range of 8.85.
Find the sigma level capability of the process.
A. 4.64
B. 4.66
C. 7.83
D. 2.25
Zusl = (70  50.05)/(8.85/2.059) = 4.64
Zlsl = (30  50.05)/(8.85/2.059) = 4.66
Sigma level capability = min [4.64, 4.66] = 4.64 AACSB: Analytic
Bloom's: Application
Difficulty: Hard
Learning Objective: 6
Topic: Process capability Chapter 18
Nonparametric Methods
True / False Questions 1. A sign test is a test of hypothesis about the population mean.
True False 2. Nonparametric tests can be more powerful than the corresponding t or F tests if the
population distribution is highly skewed or nonnormal.
True False 3. The Wilcoxon signed rank test is a nonparametric test.
True False 11758 Chapter 01  An Introduction to Business Statistics 4. The Wilcoxon rank sum test is a nonparametric test used to compare the central tendencies
of two populations when a paired difference experiment has been conducted.
True False 5. The Wilcoxon signed rank test is also called the MannWhitney test.
True False 6. The Wilcoxon rank sum test and the Kruskal Wallis test both require that we take
independent random samples.
True False 7. Parametric tests such as F and t tests are more powerful then their nonparametric
counterparts, if the assumptions needed to perform the parametric test are not violated.
True False 11759 Chapter 01  An Introduction to Business Statistics 8. If you have a paired data that consists of matched pairs collected from two dependent
populations then Wilcoxon signed rank test may be appropriate to use.
True False 9. A parametric test is always more powerful than its nonparametric counterpart.
True False 10. An assumption of the Wilcoxon rank sum test is that the variances of the two populations
are equal.
True False 11. In testing the significance of a population correlation coefficient using the Spearman's
rank correlation coefficient, it is assumed that all possible combinations of values of variable
X and variable Y have a bivariate normal probability distribution.
True False 12. The sign test is a test about a population median that is valid for any sample size and
population shape.
True False 13. The Spearman's rank correlation test can be used to study the relationship between two
ordinal variables.
True False 14. The sign test is a nonparametric test for a population mean that is valid for any sample
size and population shape.
True False 11760 Chapter 01  An Introduction to Business Statistics 15. The KruskalWallis test requires that all p samples being compared must have equal
sample sizes.
True False 16. The Wilcoxon rank sum test requires that two independent samples being compared must
have equal sample sizes.
True False Multiple Choice Questions 17. Which one of the following nonparametric methods requires that we carry out a paired
difference experiment?
A. Wilcoxon signed rank test
B. Sign test
C. KruskalWallis test
D. Wilcoxon rank sum test 18. Which one of the following nonparametric methods can be used with a single population?
A. Spearman's test
B. Sign test
C. KruskalWallis test
D. Wilcoxon rank sum test 19. Which of the following statements about nonparametric methods is correct?
A. Nonparametric methods are only used in cases where parametric tests such as t or F do not
exist.
B. Nonparametric tests should always be used when one is available because they are easier to
apply then their parametric counterparts.
C. Nonparametric tests are useful alternatives to parametric tests such as t or F when certain
assumptions required by parametric tests are violated.
D. Nonparametric tests are only used if the data comes from independent samples. 11761 Chapter 01  An Introduction to Business Statistics 20. Which one of the following nonparametric methods can be used to compare more than
two independent populations in a single test?
A. Wilcoxon signed rank test
B. Sign test
C. KruskalWallis test
D. Wilcoxon rank sum test
E. Spearman's test 21. Which one of the following nonparametric methods can be considered as an extension of
the Wilcoxon rank sum test?
A. Wilcoxon signed rank test
B. Sign test
C. KruskalWallis test
D. Spearman's test 22. Which one of the following nonparametric methods can be used to determine the strength
of the relationship between two variables?
A. Wilcoxon signed rank test
B. Sign test
C. KruskalWallis test
D. Wilcoxon rank sum test
E. Spearman's test 23. The Wilcoxon rank sum test is the nonparametric counterpart of the:
A. Large sample test about a single population mean
B. Two independent samples t test
C. F test
D. Paired difference t test
E. F test for equality of population variances 11762 Chapter 01  An Introduction to Business Statistics 24. The KruskalWallis test is the nonparametric counterpart of the:
A. Large sample test about a...
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 Winter '14
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