A Quality Analyst Wants to Construct a Sample Mean Chart

question 78

Multiple Choice

A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is under control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each: $$\begin{array} { r } { \text { Weight (ounces) } }\\\begin{array} { l l l l l } \text { Day } \\\hline \text { Monday } & 23 & 22 & 23 & 24 \\\text { Tuesday } & 23 & 21 & 19 & 21 \\\text { Wednesday } & 20 & 19 & 20 & 21 \\\text { Thursday } & 18 & 19 & 20 & 19 \\\text { Friday } & 18 & 20 & 22 & 20\end{array}\end{array}$$ What is the mean of the sampling distribution of sample means when this process is under control?

• A) 18 ounces
• B) 19 ounces
• C) 20 ounces
• D) 21 ounces
• E) 22 ounces

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Definitions:

Homo Habilis

An early human species known for its use of tools, dating back to approximately 2.1 to 2.8 million years ago.

Tools

Instruments or devices that are manually used or operated to perform a particular function, aiding in tasks or works.

Common Ancestor

The most recent individual from which all organisms in a group are directly descended.

Million Years

A unit of time used in geology, paleontology, and astronomy, equivalent to 1,000,000 years, often used to date events or processes on a geological time scale.