A local bank wants to study waiting times of customers. A sample of four customers is selected on successive days, and the time is measured from the point each customer enters the line to when he or she reaches the teller window. The results are shown in the data table. a. Construct a control chart for x. b. Is the process within statistical control? Click the icon to view the data. Click the icon to view a table of control chart factors.
A local bank wants to study waiting times of customers. A sample of four customers is selected on successive days, and the time is measured from the point each customer enters the line to when he or she reaches the teller window. The results are shown in the data table. a. Construct a control chart for x. b. Is the process within statistical control? Click the icon to view the data. Click the icon to view a table of control chart factors.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
Related questions
Question
Transcribed Image Text:=
✓
D
A local bank wants to study waiting times of customers. A sample of four customers is selected on successive days,
and the time is measured from the point each customer enters the line to when he or she reaches the teller window.
The results are shown in the data table.
a. Construct a control chart for x.
b. Is the process within statistical control?
Click the icon to view the data.
Click the icon to view a table of control chart factors.
a. Construct a control chart for x. Choose the correct graph below.
O A.
10-
mw
Sample
b. Select the correct choice.
Q
LCL
20
3
4
5
6
7
8
9
10
Table of Control Chart Factors
Table 14-2 Control Chart Constants
R Chart
n: Number of
Observations
in Subgroup
2
D₂
0.000
0.000
0.000
2.282
0.000 2.114
0.000
2.004
0.076
0.136
0.184
0.223
B.
D₂
3.267
2.574
10-
1.924
1.864
1.816
1.777
Print
Sample
A. No, because there is at least one point lying outside of the region between the upper
and lower control limits.
x Chart
A₂
1.880
1.023
0.729
0.577
0.483
0.419
0.373
OB. No, because there are eight consecutive points all above or all below the centerline.
OC. Yes, because none of the criteria are satisfied.
O D. No, because there is a trend, pattern or cycle that is obviously not random.
0.337
0.308
A₂
2.659
1.964
1.628
1.427
1.287
1.182
1.099
UCL
1.032
0.975
LCL
Done
20
O C.
B₂
0.000
0.000
0.000
0.000
10
0.030
0.118
0.185
0.239
0.284
MMM
Chart
Sample
B₁
3.267
2.568
2.266
2.089
LCL
1.970
1.882
1.815
1.761
1.716
22
Q
O D.
- X
10
MM
0
Sample
Q
ILCL
20
Transcribed Image Text:↑
A local bank wants to study waiting times of customers. A sample of four customers is selected on successive days,
and the time is measured from the point each customer enters the line to when he or she reaches the teller window.
The results are shown in the data table.
a. Construct a control chart for x.
b. Is the process within statistical control?
Click the icon to view the data.
Click the icon to view a table of control chart factors.
a. Construct a control chart for x. Choose the correct graph below.
O A.
Day
1
2
3
4
4
5
6
b. Select the correct choice.
7
8
10-
9
10
11
12
13
14
www.a
Sample
15
16
17
18
19
20
Customer Waiting Times
Q
UCL
7.6
5.6
5.5
3.3
9.7
20
8.5
4.9
8.7
5.8
3.7
2.7
1.8
9.4
7.1
7.1
6.9
5.6
4.8
7.2
6.1
ⒸA. No, because there is at least one point lying outside of the region between the upper
and lower control limits.
OB. No, because there are eight consecutive points all above or all below the centerline.
OC. Yes, because none of the criteria are satisfied.
OD. No, because there is a trend, pattern or cycle that is obviously not random.
O B.
10
Print
Sample
Time in Minutes
8.4
8.9
8.5
8.1
4.8
9.6
6.2
5.5
4.7
4.1
3.8
1.6
8.9
6.1
5.8
6.7
6.3
5.2
8.2
4.4
7.7
3.1
3.2
5.3
4.8
9.1
5.5
8.6
4.1
3.9
1.9
7.3
8.4
8.2
6.8
7.1
3.1
2.5
4.2
7.3
Q
Done
8.8
4.1
6.3
7.3
5.8
8.6
5.7
6.9
4.4
4.3
4.7
3.8
8.8
OC.
5.8
7.3
9.5
4.9
9.1
5.7
6.4
10-
Sample
MeanRange
8.125 1.2
5.425 5.8
5.875 5.3
6.000 4.8
6.275 4.9
8.950 1.1
5.575 1.3
9.979 1.5
7.425 3.2
4.750 1.7
4.000 0.6
3.275 2.8
3.625 5.7
8.875 1.0
6.800 2.4
22
6.750 1.5
7.550 2.8
4.975 3.2
5.400 6.6
6.325 4.0
6.050 2.9
- X
OD.
10-
Sample
HUCLO
LCL
20
PQ
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