A Bowling Alley Checks the Timing of the Ball Returns

question 16

Essay

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? $$\begin{array} { c c c c c } \text { day\ allay \# } & \mathbf { 1 } & \mathbf { 2 } & \mathbf { 3 } & \mathbf { 4 } \\\mathbf { 1 } & 15 & 17 & 15 & 17 \\\mathbf { 2 } & 17 & 16 & 18 & 21 \\\mathbf { 3 } & 16 & 15 & 14 & 16 \\\mathbf { 4 } & 19 & 16 & 19 & 18 \\\mathbf { 5 } & 15 & 17 & 15 & 20 \\\mathbf { 6 } & 15 & 14 & 14 & 19 \\\mathbf { 7 } & 16 & 18 & 17 & 18 \\\mathbf { 8 } & 18 & 15 & 18 & 20 \\\mathbf { 9 } & 15 & 16 & 15 & 17 \\\mathbf {10} & 16 & 16 & 16 & 21\end{array}$$

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Definitions:

Diabetes Insipidus

A condition caused by the body's inability to properly regulate water balance, leading to excessive urination and thirst.

Excessive Energy

An unusually high level of physical or mental activity, which can be a symptom of certain medical conditions or the result of lifestyle factors.

Dry Mouth

A condition characterized by a decreased production of saliva, leading to a feeling of dryness in the mouth.

Macular Edema

Swelling or thickening of the macula, the part of the eye responsible for sharp, straight-ahead vision, leading to vision impairment.