Problem:

Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. The samples and the number of defectives in each are shown in the following table:                          

                                         Number of                             Number of
                                      Defective Items                    Defective Items
  Sample     n              in the Sample         Sample         n            in the Sample
                   
     1          15                    3                       6             15               2
     2          15                    1                       7             15               0
     3          15                    0                       8             15               3
     4          15                    0                       9             15               1
     5          15                    0                      10            15               0

Required:

Question 1) Develop a p-chart for 95 percent confidence (1.96 standard deviation).

Question 2) Based on the plotted data points, what comments can you make?

Solve the given numerical problem and illustrate step by step calculation.