A production line operate with a filling weight standard of 16kg per container.overfilling or underfilling is serious problem and the production line should be shut down if either occurs.from past data ,σ is known to be 0.8kg a quality control inspector samples 30 items every 2 hours and at that time makes decision of whether or not to shut the line down for adjustment.
(a)with a 5% level of significance what is the shut down rule for the production line?
(b)if a sample mean of 15.82kg occurs what will the quality control manager recommend?