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

question 213

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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 R chart to see if the variability in production times is in-control.What is the lower control limit for this R chart? A) 4.84 B) 3.37 C) 2.98 D) 1.34  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 R chart to see if the variability in production times is in-control.What is the lower control limit for this R chart?


Definitions:

Net Realizable Value

The estimated selling price of goods minus the cost of their sale or disposal, used in valuing inventory to reflect the net amount that can be realized.

Allowance for Doubtful Accounts

An estimation of future uncollectible amounts from customers, reducing the accounts receivable balance to a more realistic figure.

Previously Written Off

This term refers to debts or assets that had been removed from an organization's financial statements as losses but may later be recovered or re-evaluated.

Maturity Value

Maturity Value is the amount payable to an investor at the end of a fixed-term investment, including the principal and any interest earned.

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