An ad agency tracks the complaints, by week received, about the billboards in it

Question

An ad agency tracks the complaints, by week received, about the billboards in its city Week No. of Complaints This exercise contains only parts a, b, and c. a) The type of control chart that is best to monitor this process is ) Using z = 3, the control chart limits for this process are (assume that the historical complaints rate is unknown): UCLc complaints per week (round your response to two decimal places). LCLc = complaints per week ound your response to two dec mal places and if your answer is negative enter this value as 0). )According to the control limits, the process has been

Explanation / Answer

a) c-chart

As the number of occurrences per unit measure can be counted, c chart will be used

b) c-bar = number of defects/number of samples = (6+6+7+11+5+11)/6 = 46/6 = 7.67

z = 3

UCL = c-bar + z*sqrt(c-bar) = 7.67 + 3*sqrt(7.67) = 15.98

LCL = c-bar - z*sqrt(c-bar) = 7.67 - 3*sqrt(7.67) = -0.64. As it cannot be negative, hence 0

c) As per control limit, process is in control as number of complaints are within limit

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