51 A production manager at Ultra Clean Dishwashing Company is monitoring the quality of the company's production process. There has been concern relative to the quality of the operation in accurately filling the 16 ounces of dishwashing liquid. The product is designed for a fall level of 16.00 0.30. The company collected the following sample data on the production MGMT 3106: Management Science and Operations Management Sample Observation 1 Observation 2 Observation 3 Deservation 4 16:40 15.90 15.97 16.20 1591 1604 16 20 1598 16.14 1587 15:43 1643 15.50 1613 15.68 16.11 16.10 16.00 16.21 16:21 15.49 16:21 15.92 16:21 16.43 15.55 15.99 16.12 16.05 16.20 15.78 1581 15.92 15.95 16:41 15.92 16.00 16.02 16.01 15.97 10 a) Calculate Mean, Average Range, Upper and lower control limits for x-Bar and R charts Show all calculations. (You may use Excel tools to verify your answers) b) Plot the Bar and R charts. (You may use Excel tools to plot the charts.) () Based on the Bar and R charts, discuss whether the process mean and range in statistical control d) Do you think this process is capable of meeting the design standard?

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Question
51
A production manager at Ultra Clean Dishwashing Company is monitoring the quality
of the company's production process. There has been concern relative to the quality of the
operation in accurately filling the 16 ounces of dishwashing liquid. The product is designed for a
fill level of 16.00 0.30. The company collected the following sample data on the production
process
MGMT 3106: Management Science and Operations Management
6)
Sample #
1
2
3
16
7
9
10
Observation 1 Observation 2 Observation 3 Deservation 4
16.11
15.90
16.10
16.20
16.00
16.04
16.21
15.93
16.21
15.49
16.21
15.92
16.21
16.43
2
3
4
Sample Defective
1
0
0
5
a) Calculate Mean, Average Range, Upper and lower control limits for x-Bar and R charts. Show
all calculations. (You may use Excel tools to verify your answers).
b) Plot the xBar and R charts. (You may use Excel tools to plot the charts.)
c) Based on the Bar and R charts, discuss whether the process mean and range in statistical
control
d) Do you think this process is capable of meeting the design standard?
6
7
A tire manufacturer has been concerned about the number of defective tires found
recently. In order to evaluate the true magnitude of the problem, a production manager selected
20 random samples of 50 units each for inspection. The number of defective tires found in each
sample are as follows:
16.40
15.97
1591
16.20
15.87
15.43
16.43
15.50
1613
15.68
1
1
3
1
1
10
11
12
13
14
16.34
15.55
15.99
16.12
16.05
16.20
Sample Defective Sample Defective
8
15
1
1
9
0
1
0
2
2
3
3
15.78
15.81
15.92
15.95
16.43
15.92
16.00
16.02
16.01
15.97
17
18
19
20
Total
0
3
1
1
a) Calculate the p-bar, standard deviation, upper and lower control limits. Show all calculations
(You may use Excel tools to verify your answers).
b) Plot the p-chart. (You may use Excel tools to plot the charts.)
c) Based on the p-chart, discuss whether the process in statistical control or not.
Transcribed Image Text:51 A production manager at Ultra Clean Dishwashing Company is monitoring the quality of the company's production process. There has been concern relative to the quality of the operation in accurately filling the 16 ounces of dishwashing liquid. The product is designed for a fill level of 16.00 0.30. The company collected the following sample data on the production process MGMT 3106: Management Science and Operations Management 6) Sample # 1 2 3 16 7 9 10 Observation 1 Observation 2 Observation 3 Deservation 4 16.11 15.90 16.10 16.20 16.00 16.04 16.21 15.93 16.21 15.49 16.21 15.92 16.21 16.43 2 3 4 Sample Defective 1 0 0 5 a) Calculate Mean, Average Range, Upper and lower control limits for x-Bar and R charts. Show all calculations. (You may use Excel tools to verify your answers). b) Plot the xBar and R charts. (You may use Excel tools to plot the charts.) c) Based on the Bar and R charts, discuss whether the process mean and range in statistical control d) Do you think this process is capable of meeting the design standard? 6 7 A tire manufacturer has been concerned about the number of defective tires found recently. In order to evaluate the true magnitude of the problem, a production manager selected 20 random samples of 50 units each for inspection. The number of defective tires found in each sample are as follows: 16.40 15.97 1591 16.20 15.87 15.43 16.43 15.50 1613 15.68 1 1 3 1 1 10 11 12 13 14 16.34 15.55 15.99 16.12 16.05 16.20 Sample Defective Sample Defective 8 15 1 1 9 0 1 0 2 2 3 3 15.78 15.81 15.92 15.95 16.43 15.92 16.00 16.02 16.01 15.97 17 18 19 20 Total 0 3 1 1 a) Calculate the p-bar, standard deviation, upper and lower control limits. Show all calculations (You may use Excel tools to verify your answers). b) Plot the p-chart. (You may use Excel tools to plot the charts.) c) Based on the p-chart, discuss whether the process in statistical control or not.
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