Consider the following hypotheses.   H0​: μ≤213 HA​: μ>213   A sample is to be taken from a population with a mean of 214 and a standard deviation of 3. The hypothesis test is to be conducted using a significance level of 0.05. Determine the probability of committing a Type II error for the conditions given in parts a through c.   a. n=10 b. n=30 c. n=50

Question
Consider the following hypotheses.
 
H0​: μ≤213
HA​: μ>213
 
A sample is to be taken from a population with a mean of 214 and a standard deviation of 3.
The hypothesis test is to be conducted using a significance level of 0.05.
Determine the probability of committing a Type II error for the conditions given in parts a through c.
 
a.
n=10
b.
n=30
c.
n=50

 

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