Question

A filling process is supposed to fill jars with 16 ounces of grape jelly. Specifications state that each jar must contain between 15.96 ounces and 16.02 ounces. A jar is selected from the process every half an hour until a sample of 100 jars is obtained. When the fills of the jars are measured, it is found that x¯ = 16.0024 and s = 0.02454. Using x¯ and s as point estimates of μ and σ, estimate the probability that a randomly selected jar will have a fill, x, that is out of specification. Assume that the process is in control and that the population of all jar fills is normally distributed. (Round the z-values to 2 decimal places and final answer to 4 decimal places. Negative amounts should be indicated by a minus sign.)

Answer 1