Question: The following sample information was obtained by taking four doughnuts per hour for twelve hours from Fawcett Bakerys doughnut process and weighing them: HOUR WEIGHT(GRAMS)

The following sample information was obtained by taking four doughnuts per hour for twelve hours from Fawcett Bakerys doughnut process and weighing them:

HOUR WEIGHT(GRAMS) HOUR WEIGHT(GRAMS)
1 77,79,89,76 7 103,98,93,103
2 88,80,97,107 8 90,84,106,78
3 80,81,85,102 9 101,79,94,82
4 102,107,87,101 10 81,104,79,89
5 100,104,80,83 11 87,99,102,105
6 101,94,94,82 12 76,88,99,93

Questions Find the and R for each sample. Round your answers to two decimal places. HOUR Average Range 1 2 3 4 5 6 7 8 9 10 11 12 Find the and for the twelve samples. Do not round intermediate calculations. Round your answers to two decimal places. Overall Mean: Average Range: Find the 3-sigma UCL and LCL for the mean and range charts. Do not round intermediate calculations. If your answer is zero, enter "0". Round your answers to two decimal places. UCL: LCL: UCLR: LCLR:

HOUR 1 2 3 4
1 77.0 79.0 89.0 76.0
2 88.0 80.0 97.0 107.0
3 80.0 81.0 85.0 102.0
4 102.0 107.0 87.0 101.0
5 100.0 104.0 80.0 83.0
6 101.0 94.0 94.0 82.0
7 103.0 98.0 93.0 103.0
8 90.0 84.0 106.0 78.0
9 101.0 79.0 94.0 82.0
10 81.0 104.0 79.0 89.0
11 87.0 99.0 102.0 105.0
12 76.0 88.0 99.0 93.0
Control Chart Factors (3 sigma)
n A2 D3 D4
2 1.88 0 3.268
3 1.023 0 2.574
4 0.729 0 2.282
5 0.577 0 2.115
6 0.483 0 2.004
7 0.419 0.076 1.924
8 0.373 0.136 1.864
9 0.337 0.184 1.816
10 0.308 0.223 1.777

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