A local company makes snack size bags of potato chips. Each day, the company pro

Question

A local company makes snack size bags of potato chips. Each day, the company produces batches of 400 snack size bags using a process designed to fill each bag with an average of 2 ounces of potato chips. However, due to imperfect technology, the actual amount placed in a given bag varies. Assume the amount placed in each of the 400 bags is normally distributed and has a standard deviation of 0.1 ounces. What is the probability that a sample of 40 bags has an average weight of at least 2.02 ounces?

0.0150

0.0918

0.1038

0.4207

Explanation / Answer

Z = (x-Average)/Standard Deviation

Z = (2.02-2)/0.1

Z = 0.20

Using Excel Formula

Probability has an average weight of at least 2.02 ounces = 1- normsdist(z)

Probability has an average weight of at least 2.02 ounces = 1-normsdist(0.20)

Probability has an average weight of at least 2.02 ounces = 0.4207

Answer

0.4207

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