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: not equal to 16 Filling off standard; stop and adjust machine
The sample size is 39 and the population standard deviation is = 0.7. Use = .05. Do not round intermediate calculations.
a. What is the probability of making a Type II error when the machine is overfilling by .5 ounces (to 4 decimals)?
b. What is the power of the statistical test when the machine is overfilling by .5 ounces (to 4 decimals)?

Answer 1

a)

probability of making a Type II error =0.0062

b)

power of the statistical test=1-type II error=0.9938