### Population of normal distribution

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##### Reference no: EM1314644

A filling process is supposed to fill jars with 16 ounces of grape jelly. Specifications state that each jar must contain between 15.95 and 16.05 ounces. A jar is selected from the process every half hour until a sample of 100 jars is obtained. When the fills of the jars are measured, it is found that = 16.0024 and s = .02454. Using and s as point estimates of and , 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.

0.0424

0.1550

0.0804

0.1134

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