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Which of the Following Statements Are True?
A) When the Data

Question 40

Multiple Choice

Which of the following statements are true?


A) When the data consists of pairs (X1,Y1) ,,(Xn,Yn) \left( X _ { 1 } , Y _ { 1 } \right) , \ldots \ldots , \left( X _ { n } , Y _ { n } \right)
And the differences Di=XiYiD _ { i } = X _ { i } - Y _ { i }
(i = 1, . . . . . . ,n )
Are not assumed to be normally distributed, hypotheses tests about the expected differences μD\mu _ { D }
Can be tested by using the Wilcoxon signed-rank test on the Di s D _ { i } ^ { \prime } \text { s }
Provided that the distribution of the differences is continuous and symmetric.
B) When the sample size n is larger than 20, it can be shown that the Wilcoxon signed-rank test statistic S+S _ { + }
Has approximately a normal distribution when the null hypothesis is true.
C) When the underlying distribution being sampled is normal, either the t test or the Wilcoxon signed-rank test can be used to test a hypothesis about the population mean μ.\mu .
D) A number of different efficiency measures have been proposed by statisticians; one that many statisticians regard as credible is called asymptotic relative efficiency (ARE) .
E) All of the above statements are true.

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