Which of the Following Statements Are Not True?
A) If $H _ { o } : \mu = 50 , \bar { x } = 53 \text {, and } \sigma _ { \bar { x } } = \sigma / \sqrt { n } = 1.2$

Which of the following statements are not true?

A) If the null hypothesis is $H _ { o } : \mu = 50 , \bar { x } = 53 \text {, and } \sigma _ { \bar { x } } = \sigma / \sqrt { n } = 1.2$
, then the test statistic value is t = -2.5.
B) If the alternative hypothesis has the form $H _ { \pm } : \mu > \mu _ { o }$
, then an $\bar { x }$
Value less than $\mu _ { 0 }$
Certainly does not provide support for $H _ { \pm }$
)
C) If the alternative hypothesis has the form $H _ { \pm } : \mu > \mu _ { o }$
, then an $\bar { x }$
Value that exceeds $\mu _ { 0 }$
By only a small amount (corresponding to z which is positive but small) does not suggest that $H _ { o }$
Should be rejected in favor of $H _ {\pm }$
)
D) All of the above statements are true.
E) None of the above statements are true.