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A Quality Analyst Wants to Construct a Control Chart for Determining

question 28

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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:  Machine  Measurements #117151517#216251825#323242322\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}
For upper and lower control limits of 23.29 and 16.71, which machine(s) , if any, appear(s) to have an out-of-control process mean?


Definitions:

Beet Juice

The liquid extracted from beetroot, often used as a natural colorant in food products, or consumed for its nutritional benefits.

Refined Sugar

Sugar that has undergone a process to remove impurities and unwanted components, resulting in pure, crystalline sucrose.

Industrial Fiber

Man-made or natural fibers primarily used in the production of durable goods and industrial products instead of consumer apparel.

Refined Sugar

Sugar that has been processed to remove impurities and achieve a high level of purity and whiteness.

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