A Quality Analyst Wants to Construct a Sample Mean Chart

question 18

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 standard deviation of the sampling distribution of sample means for whenever this process is under control?

• A) 0.1 ounces
• B) 0.4 ounces
• C) 0.5 ounces
• D) 1 ounce
• E) 2 ounces

---

Definitions:

Synesthesia

A brain disorder where activating one sense or cognitive route automatically causes unintended experiences in another sense or cognitive route.

Kinesthesia

The ability to perceive the position, weight, or motion of muscles, tendons, and joints within the body.

Sensory Interaction

The principle that one sense may influence another, as when the smell of food influences its taste.

Vestibular Sense

Our sense of balance— our sense of body movement and position that enables our sense of balance.