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

Question 41

Multiple Choice

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 X chart to see if the production process is in-control.What is the upper control limit (UCL) for this chart? A) 62.15 B) 60.95 C) 59.85 D) 58.75  Day ‾Xˉ (inminutes)  ‾ R‾158.55.1247.67.8364.36.1460.65.7563.76.2657.56.0755.05.4854.96.1955.05.91062.75.01161.97.11260.06.51358.35.91452.05.2\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 X chart to see if the production process is in-control.What is the upper control limit (UCL) for this chart? 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 X chart to see if the production process is in-control.What is the upper control limit (UCL) for this chart? A) 62.15 B) 60.95 C) 59.85 D) 58.75


A) 62.15
B) 60.95
C) 59.85
D) 58.75

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