A can of peeled whole tomatoes is supposed to contain an average of 19 ounces of tomatoes (excluding the juice). The actual weight is a normally distributed random variable whose standard deviation is known to be 0.25 ounce.
(a) In quality control, would a one-tailed or two-tailed test be used? Why?
(b) Explain the consequences of departure from the mean in either direction.
(c) Which sampling distribution would you use if samples of four cans are weighed? Why?
(d) Set up a two-tailed decision rule for α = .01.