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SCENARIO 15-3
a Quality Control Analyst for a Light Bulb

question 192

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SCENARIO 15-3
A quality control analyst for a light bulb manufacturer is concerned that the time it takes to produce a batch of light bulbs is too erratic.Accordingly, the analyst randomly surveys 10 production periods each day for 14 days and records the sample mean and range for each day.
 SCENARIO 15-3 A quality control analyst for a light bulb manufacturer is concerned that the time it takes to produce a batch of light bulbs is too erratic.Accordingly, the analyst randomly surveys 10 production periods each day for 14 days and records the sample mean and range for each day.     \begin{array}{ccc} \underline{\text { Day }}&\underline{ \bar{X} \text { (inminutes)  }}& \underline{\text { R}}\\ 1 & 58.5 & 5.1 \\ 2 & 47.6 & 7.8 \\ 3 & 64.3 & 6.1 \\ 4 & 60.6 & 5.7 \\ 5 & 63.7 & 6.2 \\ 6 & 57.5 & 6.0 \\ 7 & 55.0 & 5.4 \\ 8 & 54.9 & 6.1 \\ 9 & 55.0 & 5.9 \\ 10 & 62.7 & 5.0 \\ 11 & 61.9 & 7.1 \\ 12 & 60.0 & 6.5 \\ 13 & 58.3 & 5.9 \\ 14 & 52.0 & 5.2 \end{array}  -Referring to SCENARIO 15-3, suppose the analyst constructs an R chart to see if the variability in production times is in-control.What is the upper control limit for this R chart? A) 10.66 B) 9.37 C) 7.98 D) 6.34  Day Xˉ (inminutes)   R158.55.1247.67.8364.36.1460.65.7563.76.2657.56.0755.05.4854.96.1955.05.91062.75.01161.97.11260.06.51358.35.91452.05.2\begin{array}{ccc}\underline{\text { Day }}&\underline{ \bar{X} \text { (inminutes) }}& \underline{\text { R}}\\1 & 58.5 & 5.1 \\2 & 47.6 & 7.8 \\3 & 64.3 & 6.1 \\4 & 60.6 & 5.7 \\5 & 63.7 & 6.2 \\6 & 57.5 & 6.0 \\7 & 55.0 & 5.4 \\8 & 54.9 & 6.1 \\9 & 55.0 & 5.9 \\10 & 62.7 & 5.0 \\11 & 61.9 & 7.1 \\12 & 60.0 & 6.5 \\13 & 58.3 & 5.9 \\14 & 52.0 & 5.2\end{array}
-Referring to SCENARIO 15-3, suppose the analyst constructs an R chart to see if the variability in production times is in-control.What is the upper control limit for this R chart?


Definitions:

Plant Cell Walls

Rigid outer layers surrounding plant cells, made primarily of cellulose, providing structure, support, and protection.

Glycogen

A form of stored glucose found in the liver and muscles; it's broken down into glucose when energy is needed.

Polysaccharide

A complex carbohydrate composed of long chains of monosaccharide units bonded together, serving as energy storage or structural components in organisms.

Glucose

A simple sugar that is an important energy source in living organisms and a component of many carbohydrates.

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