A medical transcription service enters medical data on patient files for hospitals. The service has the business objective of improving the turnaround time (defined as the time between sending data and the time the client receives completed files). After studying the process, it was determined that turnaround time was increased by transmission errors. A transmission error was defined as data transmitted that did not go through as planned and needed to be retransmitted. For a period of 31 days, a sample of 125 transmissions were randomly selected and evaluated for errors and stored in Transmit. The following table presents the number and proportion of transmissions with errors:

a. Construct a p chart.

b. Is the process in a state of statistical control? Why?

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Number Proportion Number Proportion Day of Errors of ErrorsDay f Errors of Errors o) (x) 17 18 19 20 21 0.048 0.024 0.032 0.032 0.072 0.000 22 0.000 0.064 0.032 0.024 0.032 0.008 0.080 0.072 0.024 0.008 0.032 0,048 0.024 0.040 0,008 0.024 0.112 0.048 0.056 0.024 0.080 0.056 0.040 0.000 0.024 3 14 24 10 27 10 12 13 14 15 16 10 30 31