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

question 49

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 center line for this chart?


Definitions:

Cost of Goods Manufactured

The total cost incurred by a company to produce goods during a specific period, including materials, labor, and overhead costs.

Direct Labour Cost

The wages and benefits paid to workers who are directly involved in the production of goods or services.

Manufacturing Overhead Cost

All indirect costs related to the manufacturing process, including utilities, depreciation, and maintenance of equipment and facilities.

Manufacturing Overhead

Expenses related to the manufacturing process that are not directly tied to specific products, such as salaries of supervisory staff and factory maintenance.

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