In: Statistics and Probability
The following data represent the filling weights based on
samples of 350-gram containers. Ten samples of size 5 were
taken.
Sample |
Observ. 1 |
Observ. 2 |
Observ. 3 |
Observ. 4 |
Observ. 5 |
|
1 |
333.6226 |
339.3906 |
361.9761 |
339.1192 |
346.4578 |
|
2 |
365.5820 |
347.4967 |
349.5748 |
352.6524 |
363.7096 |
|
3 |
363.8708 |
367.4003 |
335.0422 |
328.8487 |
355.8509 |
|
4 |
338.4916 |
338.6541 |
346.3491 |
366.9538 |
343.1767 |
|
5 |
355.2305 |
345.7635 |
356.5218 |
347.2718 |
334.5434 |
|
6 |
345.6990 |
326.0756 |
328.9903 |
362.4881 |
352.8718 |
|
7 |
334.7083 |
359.4960 |
333.1609 |
352.2697 |
360.8256 |
|
8 |
341.2400 |
356.8819 |
369.7263 |
336.0729 |
361.5562 |
|
9 |
356.7090 |
343.1499 |
373.2071 |
352.1363 |
353.2949 |
|
10 |
351.4613 |
338.4823 |
366.3254 |
346.1882 |
343.1589 |
1. Create the X Chart.
2. Based upon the X Chart, what is the lower control limit ?
(round up four decimal places - example: 99.9999)
Answer:
1)
NOTE:
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