The customer service department is conducting a survey of the satisfaction level of those who call in for assistance. At the end of the call, customers are asked to rate the service on a 5 point scale, with 5 being the highest level of satisfaction. Anything less than a 5 is considered “defective” by the department. The company receives hundreds of calls per day.

The company has sampled seventy-five calls per day for the last eight days. The number defective in each sample is given in the table below. Calculate the UCL for a 3-standard deviation p-chart of the proportion defective.

Day 1 2 3 4 5 6 7 8
# defective 17 15 9 3 20 10 12 14

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