Which of the Following Statements Are Not True?
A) Any $H_{o }: \tilde{\mu}=0$

question 50

Multiple Choice

Which of the following statements are not true?

• A) Any normal distribution is symmetric, so symmetry is actually a weaker assumption than normality.
• B) Any symmetric distribution is normal, so normality is actually a weaker assumption than symmetry.
• C) When testing \(H_{o }: \tilde{\mu}=0\)
• Versus \(H _ { o } : \tilde \mu > 0\)
• ( \(\tilde { \mu }\)
• Is the median) using the Wilcoxon signed-rank test, \(H _ { o }\)
• Is rejected when the test statistic value \(s _ { + }\)
• Is too large because a large value of \(s _ { + }\)
• Indicates that most of the observations with large absolute magnitude are positive, which in turn indicates a median greater than 0.
• D) When the data consists of pairs \(\left( X _ { 1 } , Y _ { 1 } \right) , \ldots \ldots , \left( X _ { n } , Y _ { n } \right)\)
• And the differences \(D _ { i } = X _ { i } - Y _ { i }\)
• (i =1, . . . . . . ,n )
• Are normally distributed, a paired t test is used to test hypotheses about the expected difference \(\mu _ { D }\)
• E) All of the above statements are true.

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Definitions:

Upper and Lower Control Limits

The thresholds in control charts within which a process is considered to be in control and stable, with the Upper Control Limit being the maximum acceptable limit and the Lower Control Limit the minimum.

Assignable Cause Variation

Variation in a process that is caused by specific, identifiable factors, as opposed to random variation.

Special Cause Variation

Variation in a process that is caused by specific circumstance, which is non-random and can usually be identified and eliminated.

Random Variation

The unpredictability in the outcome of a process, experiment, or measurement due to chance.