$\mathrm { H } _ { \mathrm { a } } : \mu > 19.9 , \bar { x } = 23.1 , \sigma = 8 , \mathrm { n } = 100$

Multiple Choice

$\mathrm { H } _ { \mathrm { a } } : \mu > 19.9 , \bar { x } = 23.1 , \sigma = 8 , \mathrm { n } = 100$ . Without computing a $\mathrm { P }$ -value, determine whether the alternate hypothesis is supported and give a reason for your conclusion.

A) $\mathrm { H } _ { \mathrm { a } }$ is not supported : $\bar { x }$ is more than 3 standard deviations above the claimed mean.
B) $\mathrm { H } _ { \mathrm { a } }$ is not supported: $\bar { x }$ is less than 1 standard deviation above the claimed mean.
C) $\mathrm { H } _ { \mathrm { a } }$ is supported ; $\bar { x }$ is more than 3 standard deviations above the claimed mean.
D) $\mathrm { H } _ { \mathrm { a } }$ is supported : $\bar { x }$ is less than 1 standard deviation above the claimed mean.