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TABLE 17-3
a Quality Control Analyst for a Light Bulb

question 118

Multiple Choice

TABLE 17-3
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.

 Day Xˉ (in minutes)  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}{lcl} \underline { \text { Day } }& \underline { \bar { X } \text { (in minutes) }} & \underline { 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 Table 17-3, suppose the analyst constructs an Xˉ\bar { X } chart to see if the production process is in-control. What is the upper control limit (UCL) for this chart?


Definitions:

Objectively Observed

The act of monitoring or noticing something without the influence of personal feelings, interpretations, or prejudice; based purely on factual evidence.

Sluggish Schizophrenia

A controversial concept in psychiatry, no longer widely recognized, that was characterized by a gradual onset and progression of symptoms.

DSM-5

The fifth version of the Diagnostic and Statistical Manual of Mental Disorders serves as the definitive manual for healthcare professionals to diagnose mental health conditions.

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