Background information: Allison collected additional days of data to monitor the process. Steps to monitor using the control charts: Now monitor the process. An additional ten days of data have been collected, see table labeled “1st 10 Days of Monitoring Reservation Processing Time” in the Data File. Develop Xbar and R charts for the 1st 10 days of monitoring. Plot the data for the 1st 10 days on the Xbar and R charts. Is the process in control? If the control chart indicates an out-of-control process, note which days, the pattern, and whether it is the Xbar or R chart.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Background information: Allison collected additional days of data to monitor the process.

Steps to monitor using the control charts:

  1. Now monitor the process. An additional ten days of data have been collected, see table labeled “1st 10 Days of Monitoring Reservation Processing Time” in the Data File.
    1. Develop Xbar and R charts for the 1st 10 days of monitoring. Plot the data for the 1st 10 days on the Xbar and R charts.
    2. Is the process in control? If the control chart indicates an out-of-control process, note which days, the pattern, and whether it is the Xbar or R chart.

 

Now that we have set up the control charts using enough data from a stable process, the 30 days of data, we will monitor the process. While monitoring the process, what will we use as the upper control limit for the (range) Chart to compare against our new range values? Enter your response to three decimal places. You do not need to include the units (minutes), ONLY the numeric value.

USE EXCELL DATA TO GET UPPER CONTROL LIMIT FOR R 
A
B
C
1 RESERVATION TIME in MINUTES
2
3
456780
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
Day
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Ready
Data Set
1
4.5
3.7
4.3
3.7
4.4
3.5
4.5
3.6
4.4
4.3
3.7
4.5
4.2
4.2
3.7
4.6
4.2
4.4
4.2
4.3
4.6
4.1
3.6
4.1
4.3
4.4
3.6
3.5
4.5
4.4
+
2
3.8
4.6
3.5
3.7
4.6
3.5
4.3
3.6
3.5
4.3
3.5
3.5
4.3
4.2
4.5
4.4
3.5
3.4
3.4
4.5
4.6
4.3
4.0
4.5
4.1
4.6
3.8
3.5
4.2
3.5
D
Accessibility: Good to go
3
3.9
4.2
4.2
4.4
3.8
4.3
4.1
4.4
4.6
4.0
4.2
3.8
3.4
4.0
4.6
4.5
4.4
3.6
3.4
4.5
4.0
3.6
3.6
3.6
3.5
4.5
4.0
4.3
3.9
4.1
E
4
4.4
3.9
4.1
4.4
4.6
4.3
4.5
3.7
3.6
3.5
3.7
4.2
4.4
3.8
3.5
3.8
3.4
3.9
4.3
3.6
4.4
4.5
3.4
3.9
3.9
4.4
3.7
4.2
3.8
4.1
TI
F
5
4.0
3.9
4.3
3.6
4.3
3.4
3.5
3.8
4.1
3.8
3.9
4.1
3.6
4.1
3.5
4.3
3.7
4.3
4.0
3.6
3.9
3.8
3.5
3.4
3.5
4.2
3.9
4.6
4.0
4.4
G
H
Day
1
2
3
4
5
6
7
8
9
10
I
Day
1
2
3
4
5
6
7
8
9
10
1st 10 Days of Monitoring Reservation Processing Time
1
3
4
3.5
4.4
4.9
3.9
4.2
3.3
4.3
5.1
5.2
3.5
J
5.0
4.3
4.4
4.2
4.3
4.2
3.7
4.0
4.2
4.0
2
4.5
3.5
3.2
ا ب ا ب ا ب
3.7
3.8
3.6
4.6
5.2
3.3
3.8
K
2
4.3
4.1
4.4
3.8
4.1
4.3
3.6
4.3
4.6
4.4
3.4
4.3
3.4
3.5
3.4
4.4
4.1
2.8
3.9
4.5
L
2nd 10 Days of Monitoring Reservation Processing Time
1
3
4
4.1
4.3
4.2
4.0
4.2
4.2
4.6
4.3
4.1
4.2
4.7
3.1
3.1
4.6
4.3
4.9
4.8
4.9
5.1
3.8
M
4.5
4.3
4.1
4.9
4.3
4.3
3.4
4.0
4.0
4.4
5
5.0
3.1
4.9
3.1
3.5
3.3
4.4
4.2
3.3
5.1
5
4.2
4.2
4.0
4.1
4.2
4.4
3.8
4.3
3.8
4.2
N
O
P
Q
R
S
B
II
T
I
U
V
+
115%
W
Transcribed Image Text:A B C 1 RESERVATION TIME in MINUTES 2 3 456780 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Ready Data Set 1 4.5 3.7 4.3 3.7 4.4 3.5 4.5 3.6 4.4 4.3 3.7 4.5 4.2 4.2 3.7 4.6 4.2 4.4 4.2 4.3 4.6 4.1 3.6 4.1 4.3 4.4 3.6 3.5 4.5 4.4 + 2 3.8 4.6 3.5 3.7 4.6 3.5 4.3 3.6 3.5 4.3 3.5 3.5 4.3 4.2 4.5 4.4 3.5 3.4 3.4 4.5 4.6 4.3 4.0 4.5 4.1 4.6 3.8 3.5 4.2 3.5 D Accessibility: Good to go 3 3.9 4.2 4.2 4.4 3.8 4.3 4.1 4.4 4.6 4.0 4.2 3.8 3.4 4.0 4.6 4.5 4.4 3.6 3.4 4.5 4.0 3.6 3.6 3.6 3.5 4.5 4.0 4.3 3.9 4.1 E 4 4.4 3.9 4.1 4.4 4.6 4.3 4.5 3.7 3.6 3.5 3.7 4.2 4.4 3.8 3.5 3.8 3.4 3.9 4.3 3.6 4.4 4.5 3.4 3.9 3.9 4.4 3.7 4.2 3.8 4.1 TI F 5 4.0 3.9 4.3 3.6 4.3 3.4 3.5 3.8 4.1 3.8 3.9 4.1 3.6 4.1 3.5 4.3 3.7 4.3 4.0 3.6 3.9 3.8 3.5 3.4 3.5 4.2 3.9 4.6 4.0 4.4 G H Day 1 2 3 4 5 6 7 8 9 10 I Day 1 2 3 4 5 6 7 8 9 10 1st 10 Days of Monitoring Reservation Processing Time 1 3 4 3.5 4.4 4.9 3.9 4.2 3.3 4.3 5.1 5.2 3.5 J 5.0 4.3 4.4 4.2 4.3 4.2 3.7 4.0 4.2 4.0 2 4.5 3.5 3.2 ا ب ا ب ا ب 3.7 3.8 3.6 4.6 5.2 3.3 3.8 K 2 4.3 4.1 4.4 3.8 4.1 4.3 3.6 4.3 4.6 4.4 3.4 4.3 3.4 3.5 3.4 4.4 4.1 2.8 3.9 4.5 L 2nd 10 Days of Monitoring Reservation Processing Time 1 3 4 4.1 4.3 4.2 4.0 4.2 4.2 4.6 4.3 4.1 4.2 4.7 3.1 3.1 4.6 4.3 4.9 4.8 4.9 5.1 3.8 M 4.5 4.3 4.1 4.9 4.3 4.3 3.4 4.0 4.0 4.4 5 5.0 3.1 4.9 3.1 3.5 3.3 4.4 4.2 3.3 5.1 5 4.2 4.2 4.0 4.1 4.2 4.4 3.8 4.3 3.8 4.2 N O P Q R S B II T I U V + 115% W
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