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

question 10

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 48 , what is the probability that the hypothesis test would lead the investigator to commit a Type II error?

• A) \(0.2433\)
• B) \(0.8994\)
• C) \(0.7567\)
• D) \(0.1006\)

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