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

question 41

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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}{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)   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}{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


Definitions:

Open Account

A type of credit arrangement where goods and services are delivered with the understanding that payment will be made at a later date.

Interest-Bearing Note

A debt instrument in which the borrower promises to pay the lender a fixed amount of interest in addition to repaying the principal.

60-Day Note

Definition: A financial instrument, or promissory note, that requires the borrower to pay back the principal balance along with any interest in 60 days.

Maturity Value

The total amount payable to an investor at the end of a debt security's life, including both the principal and any accrued interest.

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