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

question 9

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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}{rcr}\text { Day }& \bar{X} \text { (inminutes)  } &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 lower control limit (LCL)  for this chart?   A) 47.60 B) 56.15 C) 57.15 D) 58.05  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}{rcr}\text { Day }& \bar{X} \text { (inminutes) } &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 lower control limit (LCL) 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}{rcr}\text { Day }& \bar{X} \text { (inminutes)  } &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 lower control limit (LCL)  for this chart?   A) 47.60 B) 56.15 C) 57.15 D) 58.05


Definitions:

Total Liabilities

The aggregate of all debts and financial obligations owed by a company to external entities at any point in time.

Owner's Equity

The residual interest in the assets of a business after deducting its liabilities, representing the owner's claim against the company's assets.

Total Assets

The sum of all assets owned by a company, including current, non-current, tangible, and intangible assets, reflected on the balance sheet.

Period Of Time

A period of time is a specified duration or a length of time during which events, processes, or conditions occur or continue.

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