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

question 101

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 lower control limit (LCL) for this chart?


Definitions:

Income Tax

Income Tax is a tax levied by governments on individuals or entities based on their net income or profit.

Return on Common Stockholders' Equity

A measure of the profitability and efficiency with which a company's common equity is employed, derived from net income divided by common stockholders' equity.

Net Income Before Taxes

The amount of profit a company has earned before any taxes have been deducted.

Equity for Common Stockholders

The portion of a company’s equity capital that is attributable to holders of common stock, representing their ownership interest.

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