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A company produces 8-pound bags of rice. As shown below, it gathered five samples with six bags in each sample for quality control purposes. The
A company produces 8-pound bags of rice. As shown below, it gathered five samples with six bags in each sample for quality control purposes. The weights of each of the bags are listed below.
Sample | 1 | 2 | 3 | 4 | 5 | 6 |
1 | 7.98 | 8.34 | 8.02 | 7.94 | 8.44 | 7.68 |
2 | 8.33 | 8.22 | 8.08 | 8.51 | 8.41 | 8.28 |
3 | 7.89 | 7.77 | 7.91 | 8.04 | 8.00 | 7.89 |
4 | 8.24 | 8.18 | 7.83 | 8.05 | 7.90 | 8.16 |
5 | 7.87 | 8.13 | 7.92 | 7.99 | 8.10 | 7.81 |
a. Find the x-bar and R for each of the five samples
b. find the x-bar and r-bar.
c. Find the 3 sigma UCL and LCL for the mean and range charts.
d. Plot the data. Does the process look to be in statistical control? Why or why not?
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