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A Plastic Cell Phone Case Has Been Experiencing Physical Quality

question 108

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A plastic cell phone case has been experiencing physical quality control problems. That is, the clear screen does not always fit (and snap into place) on the case. The dimensions of the screen have consistently been in statistical process control (SPC) . A root cause quality initiative collected the following data about the plastic cell phone case. Analyze the width of the cell phone case using control charts and make a recommendation.
Table 1 Cell Phone Plastic Case Widths in Centimeters Data*
 Sample 1  Sample 2  Sample 3  Sample 4  Sample 5  Sample 6  Sample 7  Observation #16.025.925.885.996.055.946.00#25.975.835.976.086.065.965.95#35.905.875.886.085.985.995.82 Average 5.9635.8735.916.056.035.9635.923 Range 0.120.090.090.090.080.050.18\begin{array} { | c | c | c | c | c | c | c | c | } \hline & \text { Sample 1 } & \text { Sample 2 } & \text { Sample 3 } & \text { Sample 4 } & \text { Sample 5 } & \text { Sample 6 } & \text { Sample 7 } \\\hline \text { Observation } & & & & & & & \\\hline \# 1 & 6.02 & 5.92 & 5.88 & 5.99 & 6.05 & 5.94 & 6.00 \\\hline \# 2 & 5.97 & 5.83 & 5.97 & 6.08 & 6.06 & 5.96 & 5.95 \\\hline \# 3 & 5.90 & 5.87 & 5.88 & 6.08 & 5.98 & 5.99 & 5.82 \\\hline \text { Average } & 5.963 & 5.873 & 5.91 & 6.05 & 6.03 & 5.963 & 5.923 \\\hline \text { Range } & 0.12 & 0.09 & 0.09 & 0.09 & 0.08 & 0.05 & 0.18 \\\hline\end{array} *The sample averages and ranges helps in avoiding simple math errors and quickens the time to complete the SPC analysis.
-Using Table 1 for the R-chart, what is the value of UCLR?


Definitions:

Rectus Femoris

A muscle in the quadriceps that extends the knee and flexes the thigh at the hip.

Sartorius

The longest muscle in the human body, running from the hip to the knee and assisting in flexing, abducting, and laterally rotating the thigh.

Quadriceps Femoris

A large muscle group consisting of four muscles on the front of the thigh, primarily involved in knee extension and hip flexion.

Gastrocnemius

A major calf muscle that is involved in walking, running, and jumping, attached to the heel by the Achilles tendon.

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