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

Multiple Choice

It is desired to test $\mathrm { H } _ { 0 } : \mu = 40$ against $\mathrm { H } _ { 1 } : \mu < 40$ using $\alpha = 0.10$ . 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) 0.0427
B) 0.9573
C) 0.4573
D) 0.0854