A Quality Analyst Wants to Construct a Control Chart for Determining

question 6

Multiple Choice

A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are in control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results: $$\begin{array} { c c c c c } \text { Machine } && { \text { Measurements } } \\\hline \# 1 & 17 & 15 & 15 & 17 \\\# 2 & 16 & 25 & 18 & 25 \\\# 3 & 23 & 24 & 23 & 22\end{array}$$
What are the x-bar chart three-sigma upper and lower control limits?

• A) 22 and 18
• B) 23.29 and 16.71
• C) 23.5 and 16.5
• D) 23.16 and 16.84
• E) 24 and 16

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Definitions:

Ambient Temperature

The temperature of the surrounding air or environment where a device or system operates.

Pinion Gear

A small gear that engages with a larger gear or rack, transferring motion and force in mechanical systems such as steering mechanisms.

Top Land

In an engine, the top land represents the highest section of the piston between the piston ring and the crown, impacting compression and efficiency.

Backlash

The play or gap between meshing gears, allowing for necessary movement without binding in mechanical systems.