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Jim, the Head of the Technology Center, Wants to Determine

Question 94

Essay

Jim, the head of the technology center, wants to determine if any of the technicians are not performing as expected. He has initiated a service request tracking program to record the number of calls answered per shift by each technician. For each day last week, he recorded the following data:

Number of Service Requests Processed
 Day  Worker 1  Worker 2  Worker 3  Worker 4  Monday 46444648 Tuesday 46423842 Wednesday 40384042 Thursday 36384038 Friday 36404440\begin{array} { | l | c | c | c | c | } \hline \text { Day } & \text { Worker 1 } & \text { Worker 2 } & \text { Worker 3 } & \text { Worker 4 } \\\hline \text { Monday } & 46 & 44 & 46 & 48 \\\hline \text { Tuesday } & 46 & 42 & 38 & 42 \\\hline \text { Wednesday } & 40 & 38 & 40 & 42 \\\hline \text { Thursday } & 36 & 38 & 40 & 38 \\\hline \text { Friday } & 36 & 40 & 44 & 40 \\\hline\end{array}
A) Calculate all sample means and the mean of all sample means.
B) Calculate upper and lower control limits for this dataset.
C) Are any of the technicians over-performing or under-performing?

Correct Answer:

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To calculate the sample means for each t...

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