Use this information about 10 shipments of light bulbs: $\begin{array}{lcccccccccc}
\text { Shipment } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \
\text { \# of defective units } & 0 & 1 & 2 & 0 & 4 & 3 & 2 & 1 & 3 & 4
\end{array}$

If 200 light bulbs are selected at random from each of 10 shipments and the number of defectives in each shipment is given above,find the LCL and the UCL for the p chart.
A)[0,.1044]
B)[.003,.017]
C)[0,.0311]
D)[.009,.0115]

Question

Use this information about 10 shipments of light bulbs: $\begin{array}{lcccccccccc}
\text { Shipment } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \
\text { \# of defective units } & 0 & 1 & 2 & 0 & 4 & 3 & 2 & 1 & 3 & 4
\end{array}$

If 200 light bulbs are selected at random from each of 10 shipments and the number of defectives in each shipment is given above,find the LCL and the UCL for the p chart.
A)[0,.1044]
B)[.003,.017]
C)[0,.0311]
D)[.009,.0115]

Quizplus · Accepted Answer

The LCL (Lower Control Limit) and UCL (Upper Control Limit) for a p-chart are calculated using the formula: $ \bar{p} \pm 3\sqrt{\frac{\bar{p}(1-\bar{p})}{n}} $, where $\bar{p}$ is the average proportion of defectives and $n$ is the sample size. Here, $\bar{p} = \frac{20}{2000} = 0.01$ and $n = 200$. Calculating gives LCL = 0 and UCL ≈ 0.0311.

Use This Information About 10 Shipments of Light Bulbs If 200 Light Bulbs Are Selected at Random from Each