Answer :
Answer:
The central line of the p-chart is 0.05.
Step-by-step explanation:
In statistical quality control, the p-chart is a form of control chart used to observe the proportion of non-conforming or defective components in a random sample, where the sample proportion of defective items is defined as the fraction of the number of defective units to the size of the sample, n.
The central line of the p-chart is given by:
[tex]CL=\frac{\sum np}{\sum n}[/tex]
It is provided that:
The sample selected from a shipment for inspection every day is of size, n = 50.
The average percentage of incorrect shipments is 5%, i.e. p = 0.05.
Compute the number defective units in the sample as follows:
[tex]np=50\times \frac{5}{100}[/tex]
Compute the central line of the p-chart as follows:
[tex]CL=\frac{\sum np}{\sum n}[/tex]
[tex]=\frac{5\times 50}{100\times 50}\\[/tex]
[tex]=0.05[/tex]
Thus, the central line of the p-chart is 0.05.