It Is Desired to Test $H _ { 0 } : \mu = 55$

Multiple Choice

It is desired to test $H _ { 0 } : \mu = 55$ against $H _ { \mathrm { a } } : \mu < 55$ using $\alpha = .10$ . 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 50 , what is the power of this test?

A) $.3531$
B) $.8531$
C) $.2938$
D) .1469