Explain sample provided by the supplier, Operation Management

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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 were collected from a sample provided by the supplier.

Sample: 1 2 3 4 5 6 7 8 9 10

Irregularities: 3 5 2 6 5 4 6 3 4 5

(a) Using these data, set up a c-chart with z = 2.

(b) Suppose the next five rolls from the supplier had three, two, five, three, and seven irregularities. Is the supplier process under control?

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