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:

Losses

Financial outcomes where expenses exceed revenues, resulting in negative profit for a business or individual.

Gains

The increase in wealth or resources, often measured as the difference between the sale price and the purchase price of an asset.

Behavioral Economists

Scholars who study the impact of psychological, social, cognitive, and emotional factors on the economic decisions of individuals and institutions.

Weight on the Future

This key-term may refer to the emphasis or consideration given to future outcomes or consequences in decision-making processes.