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

question 95

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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 sample mean and range data were based on 11 observations per day instead of 10.How would this change affect the lower and upper control limits of the R chart? A) LCL would increase; UCL would decrease. B) LCL would remain the same; UCL would decrease. C) Both LCL and UCL would remain the same. D) LCL would decrease; UCL would increase.  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 sample mean and range data were based on 11 observations per day instead of 10.How would this change affect the lower and upper control limits of the R chart?


Definitions:

Compounded Monthly

Interest calculation method where interest is added to the principal each month, increasing the amount on which subsequent interest is calculated.

RRSP

A Registered Retirement Savings Plan that allows individuals in Canada to save for retirement on a tax-deferred basis.

Annuity Payment

A fixed amount of money paid to someone each period, typically for the rest of their life or for a fixed number of years, as part of an annuity contract.

Ordinary Annuity

A series of equal payments made at regular intervals, with the interest compounding period being the same as the payment period.

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