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

1. What would a Type II error mean in this situation?
   SelectConcluding that the mean filling weight is not 16 ounces when it actually isConcluding that the mean filling weight is 16 ounces when it actually isn'tItem 1  
   
2. What is the probability of making a Type II error when the machine is overfilling by .5 ounces (to 4 decimals)?
     
   
3. What is the power of the statistical test when the machine is overfilling by .5 ounces (to 4 decimals)?
     

Answer 1

a)Concluding that the mean filling weight is 16 ounces when it actually isn't

b)

c)

power =1-type II error =1-0.0188 =0.9812