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

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.