A filling process is supposed to fill jars with 16 ounces of grape jelly. Specif

Question

A filling process is supposed to fill jars with 16 ounces of grape jelly. Specifications state that each jar must certain between 15.96 ounces and 16.05 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 p and a, estimate the probabWy that a randomly selected jar wil have a fill, x, that is out of specification. Assume that the process is in control and thai the population of all jar Us is normally distributed.

Explanation / Answer

z value for 15.96, z =(15.96-16.0024)/0.02454 = -1.73

z value for 16.05, z =(16.05-16.0024)/0.02454 =1.94

P( Z < -1.73) +P( Z >1.94)

=0.0418 +0.0262 = 0.0680

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