A production line operation is tested for lling weight accur

A production line operation is tested for lling weight accuracy using the following hypotheses.

Hypothesis Conclusion and Action

H0:= 16 Filling okay; keep running

H1:= 16 Filling o standard; stop and adjust machine

The sample size is 30 and the population standard deviation is 8. Use .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 overlling by 0.5

ounces?

(d) Show the power curve for this hypothesis test. What information does it contain for the

production manager?