It Is Desired to Test $H _ { 0 } : \mu = 40$

Multiple Choice

It is desired to test $H _ { 0 } : \mu = 40$ against $H _ { \mathrm { a } } : \mu < 40$ using $\alpha = .10$ . The population in question is uniformly distributed with a standard deviation of 10 . A random sample of 36 will be drawn from this population. If $\mu$ is really equal to 35 , what is the probability that the hypothesis test would lead the investigator to commit a Type II error?

A) $.4573$
B) $.9573$
C) $.0854$
D) $.0427$