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 39 and the population standard deviation is  = 0.7. Use  = .05. Do not round intermediate calculations.

1. What is the probability of making a Type II error when the machine is overfilling by .5 ounces (to 4 decimals)?
     
   
2. 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 =0.9938