Question: A production process is designed to fill boxes with an average of 14 ounces of cereal. The population of filling weights is normally distributed with

A production process is designed to fill boxes with an average of 14 ounces of cereal. The population of filling weights is normally distributed with a standard deviation of 2 ounces. Inspectors take periodic samples of 10 boxes. The following sample means are obtained.

a. Construct an x̅ chart. Plot the sample means on the x̅ chart.

b. Can the firm conclude that the production process is operating properly? Explain.

X = 13.7 2 = 14.2 3 = 13.9 X4 = 14.1 X5 = 14.3 6 = 13.9

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