$\mathrm{H}_{\mathrm{a}}: \mu>19, \bar{x}=23.8, \sigma=8, \mathrm{n}=100$ ; Without Computing A

Multiple Choice

$\mathrm{H}_{\mathrm{a}}: \mu>19, \bar{x}=23.8, \sigma=8, \mathrm{n}=100$ ; 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 less than 1 standard deviation above the claimed mean.
B) $\mathrm{H}_{\mathrm{a}}$ is not supported; $\bar{x}$ is more than 4 standard deriations above the claimed mean.
C) $\mathrm{H}_{a}$ is supported; $\bar{x}$ is less than 1 standard deviation above the claimed mean.
D) $\mathrm{H}_{\mathrm{a}}$ is supported; $\bar{x}$ is more than 4 standard deviations above the claimed mean.