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A Bowling Alley Checks the Timing of the Ball Returns

Question 16

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A bowling alley checks the timing of the ball returns daily for four lanes.The times are given in seconds.Create X-bar and R charts.Is the process in control?  day allay # 12341151715172171618213161514164191619185151715206151414197161817188181518209151615171016161621\begin{array} { c c c c c } \text { day\ allay \# } & \mathbf { 1 } & \mathbf { 2 } & \mathbf { 3 } & \mathbf { 4 } \\\mathbf { 1 } & 15 & 17 & 15 & 17 \\\mathbf { 2 } & 17 & 16 & 18 & 21 \\\mathbf { 3 } & 16 & 15 & 14 & 16 \\\mathbf { 4 } & 19 & 16 & 19 & 18 \\\mathbf { 5 } & 15 & 17 & 15 & 20 \\\mathbf { 6 } & 15 & 14 & 14 & 19 \\\mathbf { 7 } & 16 & 18 & 17 & 18 \\\mathbf { 8 } & 18 & 15 & 18 & 20 \\\mathbf { 9 } & 15 & 16 & 15 & 17 \\\mathbf {10} & 16 & 16 & 16 & 21\end{array}

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(The mean = 16.75.The average range is ...

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