It Is Desired to Test $\mathrm { H } _ { 0 } : \mu = 50$

Multiple Choice

It is desired to test $\mathrm { H } _ { 0 } : \mu = 50$ against $\mathrm { H } _ { \mathrm { A } } : \mu \neq 50$ using $\alpha = 0.10$ . The population in question is uniformly distributed with a standard deviation of 15. A random sample of 49 will be drawn from this population. If $\mu$ is really equal to 45 , what is the power of the test?

A) $0.1041$
B) $0.7544$
C) $0.2456$
D) $0.8959$