Xcel Sample 2 3 450 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 11. As cereal boxes are filled in a factory, they are weighed for their contents by an automatic scale. The target value is to put 10 ounces of cereal in each box. Twenty samples of three boxes each have been weighed for quality control purposes. The fill weight for each box is shown below. 10.01 9.87 10.08 10.17 10.21 10.16 10.14 9.86 10.18 9.91 10.08 9.71 10.14 10.16 10.13 10.16 10.20 9.87 9.84 10.06 Observation 2 9.90 10.20 9.89 10.01 10.13 10.02 9.89 9.91 10.04 9.87 10.14 9.87 10.06 10.17 9.94 9.81 10.10 9.93 9.91 10.19 3 10.03 10.15 9.76 9.83 10.04 9.85 9.80 9.99 9.96 10.06 10.03 9.92 9.84 10.19 9.92 9.87 10.03 10.06 9.99 10.01 a. Calculate the center line and control limits for the and R charts from these data. b. Plot each of the 20 samples on the and R control charts and determine which samples are out of control. c. Do you think the process is stable enough to begin to use these data as a basis for calculating and R and to begin to take periodic samples of 3 for quality control purposes?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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excel
Sample
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11. As cereal boxes are filled in a factory, they are weighed for their contents by an automatic scale.
The target value is to put 10 ounces of cereal in each box. Twenty samples of three boxes each have
been weighed for quality control purposes. The fill weight for each box is shown below.
1
10.01
9.87
10.08
10.17
10.21
10.16
10.14
9.86
10.18
9.91
10.08
9.71
10.14
10.16
10.13
10.16
10.20
9.87
9.84
10.06
Observation
2
9.90
10.20
9.89
10.01
10.13
10.02
9.89
9.91
10.04
9.87
10.14
9.87
10.06
10.17
9.94
9.81
10.10
9.93
9.91
10.19
3
10.03
10.15
9.76
9.83
10.04
9.85
9.80
9.99
9.96
10.06
10.03
9.92
9.84
10.19
9.92
9.87
10.03
10.06
9.99
10.01
a. Calculate the center line and control limits for the and R charts from these data.
b. Plot each of the 20 samples on the and R control charts and determine which samples are out of control.
c. Do you think the process is stable enough to begin to use these data as a basis for calculating and R and to begin to take periodic
samples of 3 for quality control purposes?
Transcribed Image Text:excel Sample 1 2 3 4 5 6 7 8 9 10 11 2 3 4 12 14 15 16 17 18 19 20 11. As cereal boxes are filled in a factory, they are weighed for their contents by an automatic scale. The target value is to put 10 ounces of cereal in each box. Twenty samples of three boxes each have been weighed for quality control purposes. The fill weight for each box is shown below. 1 10.01 9.87 10.08 10.17 10.21 10.16 10.14 9.86 10.18 9.91 10.08 9.71 10.14 10.16 10.13 10.16 10.20 9.87 9.84 10.06 Observation 2 9.90 10.20 9.89 10.01 10.13 10.02 9.89 9.91 10.04 9.87 10.14 9.87 10.06 10.17 9.94 9.81 10.10 9.93 9.91 10.19 3 10.03 10.15 9.76 9.83 10.04 9.85 9.80 9.99 9.96 10.06 10.03 9.92 9.84 10.19 9.92 9.87 10.03 10.06 9.99 10.01 a. Calculate the center line and control limits for the and R charts from these data. b. Plot each of the 20 samples on the and R control charts and determine which samples are out of control. c. Do you think the process is stable enough to begin to use these data as a basis for calculating and R and to begin to take periodic samples of 3 for quality control purposes?
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