An insurance company samples claim forms for errors created by its employees as well as the amount of time it takes to process a claim.

a$.$ When the process is in control, the proportion of claims with an error is $\mathrm{.}033.$ A p chart has LCL $=0$ and UCL $=\mathrm{.}068.$ Plot the following seven sample results: $\mathrm{.}035,\mathrm{.}062,\mathrm{.}055,\mathrm{.}049,\mathrm{.}058,\mathrm{.}066,$ and $\mathrm{.}055.$ Comment on whether there might be concern about the quality of the process.

Process should be

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$.$ All points are

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; however, all points are also

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the process proportion defective.

b$.$ An chart for the mean processing time has LCL $=22\mathrm{.}2$ and UCL $=24\mathrm{.}5.$ The mean is $=23\mathrm{.}35$ when the claim process is in control. Plot the following seven sample results: $22\mathrm{.}4,22\mathrm{.}6,22\mathrm{.}65,23\mathrm{.}2,23\mathrm{.}4,23\mathrm{.}85,$ and $24\mathrm{.}1.$ Comment on whether there might be concern about the quality of the process.

Process should be

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$.$ All points are

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yet the trend in points show a movement or shift toward UCL out$$of$$control point.