Solve the below problem:
Q: A shirt manufacturer buys cloth by the 100 yard roll from a supplier. For setting up a control chart to manage the irregularities (e.g., loose threads and tears) the following data was collected from a sample provided by the supplier.
a. Determine the c, S_p, UCL and LCL for a c -chart with z = 2.
b. Suppose the next five rolls from the supplier had two, four, four, three, and seven irregularities. Is the supplier process under control?