Which of the Following Statements Are Not True?
A) Provided $Z = ( \bar { X } - \mu ) / ( \sigma / \sqrt { n } )$

Which of the following statements are not true?

A) Provided that the sample size n is large, the standardized variable $Z = ( \bar { X } - \mu ) / ( \sigma / \sqrt { n } )$
Is approximately normally distributed, while the variable $Z = ( \bar { X } - \mu ) / ( S / \sqrt { n } )$
Is not.
B) The formula $\bar { x } \pm z _ { \alpha/2 } \cdot s / \sqrt { n }$
Is a large-sample confidence interval for $\mu$
With confidence level approximately $100 ( 1 - \alpha ) \%$
)
C) Generally speaking, n >40 will be sufficient to justify the use of the formula $\bar { x } \pm z _ { \alpha/2 } \cdot s / \sqrt { n }$
As a large-sample confidence interval for $\mu$
)
D) None of the above statements are true.
E) All of the above statements are true.