It Is Desired to Test $H _ { 0 } : \mu = 12$

Multiple Choice

It is desired to test $H _ { 0 } : \mu = 12$ against $H _ { \mathrm { a } } : \mu \neq 12$ using $\alpha = 0.05$ . The population in question is uniformly distributed with a standard deviation of $2.0$ . A random sample of 100 will be drawn from this population. If $\mu$ is really equal to $11.9$ , what is the value of $\beta$ associated with this test?

A) $.9209$
B) $.4210$
C) $.0791$
D) . 0395