Question
The process that produces a part for a 3-D printer state has a mean of 24 ounces and a standard deviation of .2 ounce .
The process that produces a part for a 3-D printer state has a mean of 24 ounces and a standard deviation of .2 ounce.
a. Specifications for a part for a 3-D printer state that the part should weigh between 23.2 and 25 ounces. Compute the capability index (Cp or Cpk) for the process. (Round your final answer to 2 decimal places.)
b. Is the process capable? Why?
c. Samples of 16 observations are taken for the quality control evaluation (n=16). Determine upper and lower control limits that will include roughly 99.74 percent of the sample means when the process is in control. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
d. Another 4 samples with 3 observations in each sample are taken to check the process. Data are listed below. Is the process in control based on the control limits from question c? Does it appear that the specifications in question a are being met?
Observation number | Sample 1 | Sample 2 | Sample 3 | Sample 4 |
1 | 24.01 | 23.66 | 23.97 | 23.77 |
2 | 24.30 | 23.81 | 24.22 | 24.28 |
3 | 24.26 | 23.79 | 24.20 | 23.90 |
Sample mean | 24.19 | 23.75 | 24.13 | 23.98 |
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