Inference - type 2 error
3. A soda vending machine is scheduled to ship an average ofnine (9) ounces of soda per glass, with a standard deviation of oneounce (1) ounce. The machine manufacturer wishes to set the controllimit so that for a sample of 36 soft drinks, 5% of the sampleaverages is higher than the upper control limit and 5% of thesample averages, lower than the limit of lower control
a. In what values should the control limits be programmed?
b. What is the probability that if the population average changesto 8.9, the change will not be detected?
C. What is the probability that if the population average changesto 9.3, the change will not be detected?
