Question

A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action H 0: = 16 Filling okay, keep running H a:       16 Filling off standard; stop and adjust machine The sample size is 35 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? 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)?

Answer 1

from above probability of making a Type II error =0.0116

power of the statistical test =0.9884