A Local Company Makes Snack-Size Bags of Potato Chips

question 4

Multiple Choice

A local company makes snack-size bags of potato chips. 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 population of filling weights is normally distributed with a standard deviation of 0.1 ounce. The company periodically weighs samples of 10 bags to ensure the proper filling process. The last five sample means, in ounces, were 1.99, 2.02, 2.07, 1.96, and 2.01. Is the production process under control?

• A) No, because the sample means show a downward trend.
• B) Yes, because the sample means show a downward trend.
• C) No, because the sample means fall within the upper and lower control limits.
• D) Yes, because the sample means fall within the upper and lower control limits.

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Definitions:

Holy Roman Empire

A multi-ethnic complex of territories in central Europe that developed during the Early Middle Ages and lasted until its dissolution in 1806, often led by an emperor elected by the princes.

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The support, encouragement, privilege, or financial aid that an organization or individual bestows to another.

Industrial Revolution

A period of major industrialization that took place during the late 1700s and early 1800s, radically transforming societies.

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Exposed to the possibility of being attacked or harmed, either physically or emotionally.