A production line operation is tested for filling weight accuracy using the following
hypotheses.
Hypothesis H0:μ=16Ha:μ≠16 Conclusion and Action Filling okay; keep running Filling off standard; stop and adjust machine

The sample size is 30 and the population standard deviation is σ=.8. Use α=.05.
a. What would a Type II error mean in this situation?
b. What is the probability of making a Type II error when the machine is overfilling by
.5 ounces?
c. What is the power of the statistical test when the machine is overfilling by .5 ounces?
d. Show the power curve for this hypothesis test. What information does it contain for
the production manager?