A Soft Drink Filling Machine Is Set Up to Fill

question 7

Essay

A soft drink filling machine is set up to fill bottles with 12 ounces of soft drink. The standard deviation s is known to be 0.4 ounces. The quality control department periodically selects samples of 16 bottles and measures their contents. Assume the distribution of filling volumes is normal.
a.Determine the upper and lower control limits and explain what they indicate.
b.The means of six samples were 11.8, 12.2, 11.9, 11.9, 12.1, and 11.8 ounces. Construct an X bar chart and indicate whether or not the process is in control.

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Definitions:

K

The chemical symbol for potassium, an essential mineral and electrolyte involved in nerve function and fluid balance.

[Cl-]

The chloride ion, a chlorine atom that has gained one electron to achieve a stable electronic configuration, commonly found in salt compounds.

HAc

A common abbreviation for acetic acid, a weak organic acid with the formula CH3COOH, known for its sour taste and pungent smell.

K

Symbol for potassium, a chemical element with atomic number 19, essential for various functions in living organisms.