Question

A new industrial oven has just been installed at the Piatt Bakery. To develop experience regarding
the oven temperature, an inspector reads the temperature at four di erent places inside the oven
each half hour.
Reading
Time 1 2 3 4
8:00 A.M. 340 350 355 339
8:30 A.M. 344 342 338 338
9:00 A.M. 341 345 347 343
9:30 A.M. 339 339 341 341
10:00 A.M. 337 342 346 341
10:30 A.M. 339 340 339 340
1. Determine the control limits for the mean temperature. Determine the grand mean. Plot the
experience on a chart.
2. Interpret the chart. Does there seem to be a time when the temperature is out of control?
3. Determine the control limits for the range. Plot the experience on a chart.
4. Does there seem to be a time when there is too much variation in the temperature?
5. Determine the CL, UCL, and LCL for the S-chart. Plot the chart and interpret the result.
6. Determine the CL, UCL, and LCL for the control charts of the median and the range. Plot
the charts and interpret the results.
7. If you have to decide which charts to use among the presented charts, which you prefer?
Justify.
8. Assume normality distribution for the oven temperature and use estimators of the mean and
standard deviation to determine the process capability by computing the necessary indexes.
The lower and upper speci cations limits are 333.1 and 350.42, respectively.
Interpret the results.

Answer 1

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