A production line operation is tested for filling weight accuracy using the following hypotheses. HypothesisConclusion and Action
H 0: = 16Filling okay, keep running
H a: not =16
 Filling off standard; stop and adjust machine
The sample size is 40 and the population standard deviation is = 0.7. Use = .05. Do not round intermediate calculations.

What would a Type II error mean in this situation?

Concluding that the mean filling weight is 16 ounces when it actually isn't

What is the probability of making a Type II error when the machine is overfilling by .5 ounces (to 4 decimals)?

What is the power of the statistical test when the machine is overfilling by .5 ounces (to 4 decimals)?