Determine the Revised Central Line for a Count of Nonconformities

question 12

Short Answer

Determine the revised central line for a count of nonconformities chart. Assume any out-of-control points have assignable causes. Data not shown are in control. The trial central line is 0.80, the trial UCL is 2.00, and the trial LCL is 0. $$\begin{array} { c c c c } \begin{array} { c } \text { Lot } \\\text { Number }\end{array} & \begin{array} { c } \text { Sample } \\\text { Size }\end{array} & \begin{array} { c } \text { Count of } \\\text { Nonconformities }\end{array} & \begin{array} { c } \text { Count of non- } \\\text { conformities/unit }\end{array} \\55 & 5 & 2 & 0.40 \\56 & 5 & 5 & 1.00 \\57 & 5 & 11 & 2.20 \\& & & \\78 & 5 & 3 & 0.60 \\79 & 5 & 0 & 0.00 \\80 & 5 & 4 & 0.80\\\square=25 & \square=15 & \square=100\end{array}$$

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Definitions:

Socially Efficient Price

A price point for goods or services that optimally allocates resources in a way that benefits the entire society, taking into account both private and external costs and benefits.

Price Discrimination

A pricing strategy where identical or largely similar goods or services are sold at different prices by the same provider in different markets or to different customers.

Consumer Surplus

The difference between the total amount that consumers are willing and able to pay for a good or service and the total amount that they do actually pay.

Total Costs

refer to the sum of all the expenses involved in producing a good or service, including both fixed and variable costs.