Valtec Electronics fills orders for its electronic components and parts by truck to customers through several distribution centers. A measure of its supply chain responsiveness is order fulfillment lead time, which is the number of days from when a company receives an order to when it is delivered to the customer. A distribution center manager has taken 20 samples of 5 orders each during the month and recorded the lead time for each as follows: Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1.3 2.1 4.2 1.6 2.6 0.8 2.6 3.4 3.1 2.4 1.9 6.1 1.2 2.4 3.7 3.6 0.4 17 18 19 2.4 1.2 3.3 2.1 3 2.7 3.5 6.1 1.8 3.6 3 1.5 1.4 1.9 5.8 4.5 3.1 1.4 1.5 2.8 2.5 2.2 1.8 4.8 5.9 4.4 2.7 3.4 0.4 4.9 2.1 5.2 3.4 2.8 4.5 2.9 3.4 2.5 7 1.4 3.3 2.7 4.8 1.7 1.8 6.5 4.8 2.9 3.4 4.4 3.6 2.9 5.2 20 4.7 2 2 1.8 a. Construct an X-chart to be used in conjunction with an R-chart using 30 limits for this data and indicate if the process is in control. b. Please make recommendations about further actions based on results. 5.3 2.7 Load Time Days 0.7 1 2.6 2.8 3 2.5 1.5 0.9 4.6 3.7 3.6 2.5 2.9 3.2 2.2 3.6 2.3 2.3 2.4 2 3.2 4.8 4.1 3.1

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Output:
UCL
Mean
LCL
Sample
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
X-Bar Range
1.3
2.1
4.2
1.6
2.6
0.8
2.6
3.4
3.1
2.4
1.9
6.1
1.2
2.4
3.7
3.6
0.4
5.3
2.7
4.7
2.4
1.2
3.3
2.1
3
2.7
3.5
6.1
2.5
4.8
2.7
4.9
3.4
2.9
7
2.7
1.8
2.9
3.6
2
Load Time Days
0.7
1
2.6
2.8
1.4
5.8
3.1
1.5
2.2
5.9
3.4
2.1
2.8
3.4
1.4
4.8
6.5
3.4
2.9
2
3
2.5
1.5
0.9
4.6
3.7
3.6
2.5
2.9
3.2
2.2
3.6
2.3
2.3
2.4
2
3.2
4.8
4.1
3.1
1.8
3.6
3
1.5
1.9
4.5
1.4
2.8
1.8
4.4
0.4
5.2
4.5
2.5
3.3
1.7
4.8
4.4
5.2
1.8
UCL
N
A2
D3
D4
Table Values
Xbar Chart
LCL
X bar
UCL
R-chart
LCL
R bar
Transcribed Image Text:Output: UCL Mean LCL Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 X-Bar Range 1.3 2.1 4.2 1.6 2.6 0.8 2.6 3.4 3.1 2.4 1.9 6.1 1.2 2.4 3.7 3.6 0.4 5.3 2.7 4.7 2.4 1.2 3.3 2.1 3 2.7 3.5 6.1 2.5 4.8 2.7 4.9 3.4 2.9 7 2.7 1.8 2.9 3.6 2 Load Time Days 0.7 1 2.6 2.8 1.4 5.8 3.1 1.5 2.2 5.9 3.4 2.1 2.8 3.4 1.4 4.8 6.5 3.4 2.9 2 3 2.5 1.5 0.9 4.6 3.7 3.6 2.5 2.9 3.2 2.2 3.6 2.3 2.3 2.4 2 3.2 4.8 4.1 3.1 1.8 3.6 3 1.5 1.9 4.5 1.4 2.8 1.8 4.4 0.4 5.2 4.5 2.5 3.3 1.7 4.8 4.4 5.2 1.8 UCL N A2 D3 D4 Table Values Xbar Chart LCL X bar UCL R-chart LCL R bar
Valtec Electronics fills orders for its electronic components and parts by truck to customers through several
distribution centers. A measure of its supply chain responsiveness is order fulfillment lead time, which is the
number of days from when a company receives an order to when it is delivered to the customer. A distribution
center manager has taken 20 samples of 5 orders each during the month and recorded the lead time for each as
follows:
Sample
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
1.3
2.1
4.2
1.6
2.6
0.8
2.6
3.4
3.1
2.4
1.9
6.1
1.2
2.4
3.7
a.
3.6
0.4
2.4
1.2
3.3
2.1
5.3
2.7
3
2.7
3.5
6.1
2.5
4.8
2.7
4.9
3.4
2.9
7
1.4
2.8
1.8
4.4
0.4
5.2
4.5
2.5
3.3
1.7
4.8
4.4
5.2
4.7
2
2
1.8
Construct an X-chart to be used in conjunction with an R-chart using 30 limits for this data and
indicate if the process is in control.
b. Please make recommendations about further actions based on results.
2.7
1.8
Load Time Days
0.7
2.9
3.6
1
2.6
2.8
1.4
5.8
3.1
1.5
2.2
5.9
3.4
2.1
2.8
3.4
1.4
4.8
6.5
3
2.5
1.5
0.9
4.6
3.7
3.6
2.5
2.9
3.2
2.2
3.6
2.3
2.3
2.4
2
3.2
4.8
4.1
3.1
3.4
2.9
1.8
3.6
3
1.5
1.9
4.5
Transcribed Image Text:Valtec Electronics fills orders for its electronic components and parts by truck to customers through several distribution centers. A measure of its supply chain responsiveness is order fulfillment lead time, which is the number of days from when a company receives an order to when it is delivered to the customer. A distribution center manager has taken 20 samples of 5 orders each during the month and recorded the lead time for each as follows: Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1.3 2.1 4.2 1.6 2.6 0.8 2.6 3.4 3.1 2.4 1.9 6.1 1.2 2.4 3.7 a. 3.6 0.4 2.4 1.2 3.3 2.1 5.3 2.7 3 2.7 3.5 6.1 2.5 4.8 2.7 4.9 3.4 2.9 7 1.4 2.8 1.8 4.4 0.4 5.2 4.5 2.5 3.3 1.7 4.8 4.4 5.2 4.7 2 2 1.8 Construct an X-chart to be used in conjunction with an R-chart using 30 limits for this data and indicate if the process is in control. b. Please make recommendations about further actions based on results. 2.7 1.8 Load Time Days 0.7 2.9 3.6 1 2.6 2.8 1.4 5.8 3.1 1.5 2.2 5.9 3.4 2.1 2.8 3.4 1.4 4.8 6.5 3 2.5 1.5 0.9 4.6 3.7 3.6 2.5 2.9 3.2 2.2 3.6 2.3 2.3 2.4 2 3.2 4.8 4.1 3.1 3.4 2.9 1.8 3.6 3 1.5 1.9 4.5
Expert Solution
Step 1

Hint:

The control limits for the X-Chart and R-Chart are:

UCLX=X¯+A2R, CL=X, LCLX=X¯-A2R

UCLR=D4R, CL=R, LCLR=D3R

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