A Detergent Company Periodically Tests Its Products for Variations in the Fill

question 9

Multiple Choice

A detergent company periodically tests its products for variations in the fill weight. To do this, the company uses -charts. Eight samples, each containing six detergent boxes, were selected from different batches. Historical data for fill weight (in ounces) of the eight samples is presented below.
$\begin{array} { | l | l | l | } \hline \text { Sample } & \text { Sample Mean } & \text { Sample Range } \\\hline 1 & 15.80 & 0.42 \\\hline 2 & 16.10 & 0.38 \\\hline 3 & 16.02 & 0.08 \\\hline 4 & 15.95 & 0.15 \\\hline 5 & 16.12 & 0.42 \\\hline 6 & 16.18 & 0.23 \\\hline 7 & 15.87 & 0.36 \\\hline 8 & 16.20 & 0.40 \\\hline\end{array}$
If A2>for the
-chart is 0.483, the upper control limit for the
-chart (UCL) will be:

• A) less than or equal to 14.
• B) more than 14 but less than or equal to 16.
• C) more than 16 but less than or equal to 18.
• D) more than 18.

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Definitions:

Group

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Prototypical Members

Individuals within a group who embody the most representative or characteristic qualities of that group.

Peripheral Representative

An individual within a group or organization who holds a marginal or outward position, often tasked with liaison roles or representing the group to external entities.

Uncertain Position

A situation or status that is not clearly defined or decided, leading to ambiguity or confusion.