Question: Consider the sample data below for a process fillling Very Nice soda cans labeled 12 fluid ounces. So far, 10 samples coming from 10 consecutive
Consider the sample data below for a process fillling Very Nice soda cans labeled "12 fluid ounces". So far, 10 samples coming from 10 consecutive shifts of operations have been taken. Each sample contains 4 soda cans.
| Sample Number | Individual Volumes of the Cans | Sample Mean Volume | Sample Range | |||
| 1 | 12.4 | 12.6 | 12.0 | 12.1 | 12.275 | 0.6 |
| 2 | 11.9 | 12.7 | 12.4 | 12.7 | 0.8 | |
| 3 | 12.8 | 12.2 | 12.9 | 13.1 | 12.750 | 0.9 |
| 4 | 12.5 | 12.5 | 12.1 | 12.8 | 12.475 | |
| 5 | 12.2 | 12.8 | 12.8 | 12.0 | 12.450 | 0.8 |
| 6 | 11.7 | 11.9 | 11.7 | 11.7 | 11.750 | 0.2 |
| 7 | 12.3 | 12.4 | 12.8 | 12.4 | 12.475 | 0.5 |
| 8 | 12.9 | 12.1 | 11.6 | 12.2 | 1.3 | |
| 9 | 12.2 | 12.8 | 12.4 | 11.9 | 12.325 | |
| 10 | 12.6 | 12.4 | 12.2 | 12.3 | 12.375 | 0.4 |
| Sum: | 123.5 | 7.1 | ||||
(A) Fill in the missing cells in the rows for Samples 2, 4, 8, and 9. (The sums given are the sums of the columns including the missing cells).
(i) Sample 2 row missing cell: (Don't round your answer) (ii) Sample 4 row missing cell: (Don't round your answer) (iii) Sample 8 row missing cell: (Don't round your answer) (iv) Sample 9 row missing cell: (Don't round your answer)
(B) Suppose the process dispersion has already been determined to be in control. (i) Give the Upper Control Limit for the control chart that will check if the process mean volume is in control at the 3-sigma level: (give 3 decimals)
(ii) Give the Lower Control Limit for the control chart that will check if the process mean volume is in control at the 3-sigma level : (give 3 decimals) (iii) Is the process in control? Explain. (iv) Suggest the next step in the quality control program.
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