A Quality Analyst Wants to Construct a Sample Mean Chart

question 25

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 in 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: $$\begin{array} { l l c c c } \text { Day } && { \text { Weight (ounces) } } \\\hline \text { Monday } & 23 & 22 & 23 & 24 \\\text { Tuesday } & 23 & 21 & 19 & 21 \\\text { Wednesday } & 20 & 19 & 20 & 21 \\\text { Thursday } & 18 & 19 & 20 & 19 \\\text { Friday } & 18 & 20 & 22 & 20\end{array}$$
What is the standard deviation of the sampling distribution of sample means for whenever this process is in control?

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

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Definitions:

IDEO Brainstorms

Creative group problem-solving sessions facilitated by the design and innovation firm IDEO, focusing on generating a large volume of ideas in a non-judgmental environment.

Certainty

The state of being without doubt or the confidence in a fact or outcome being true or guaranteed.

Risk

The potential for loss or harm associated with taking an action or a decision.

Uncertainty

The state of having limited knowledge or lacking information about an event, making its outcome unpredictable.