A local bank wants to study waiting times of customers. A subgroup of four customers is selected, 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 control charts for the range and the mean. (b) Is the process in control?

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Day    Time 1    Time 2    Time 3    Time 4
1    7.2    9.2    9.4    9.5
2    5.4    8.8    3.1    4.4
3    5.7    8.7    3.4    5.5
4    3.5    7.7    5.4    7.4
5    9.8    4.5    4.6    5.9
6    8.9    9.8    9.8    6.3
7    5.2    6.4    5.1    5.5
8    8.7    5.3    8.7    6.6
9    5.8    4.7    4.1    4.6
10    3.9    3.9    3.9    4.9
11    2.5    3.8    2.5    4.7
12    4.7    1.9    6.7    1.4
13    6.1    7.7    8.4    8.8
14    7.1    6.3    8.3    5.7
15    7.3    5.6    6.9    6.7
16    6.7    7.1    7.1    9.4
17    5.5    6.4    3.4    5.3
18    4.8    5.1    1.2    9.2
19    7.4    7.8    4.2    5.6
20    6.2    4.5    7.2    6.2

Day
Time 1
Time 2 Time 3
Time 4
1
7.2
9.2
9.4
9.5
2
5.4
8.8
3.1
4.4
3
5.7
8.7
3.4
5.5
3.5
7.7
5.4
7.4
9.8
4.5
4.6
5.9
6.
8.9
9.8
9.8
6.3
7
5.2
6.4
5.1
5.5
8.7
5.3
8.7
6.6
5.8
4.7
4.1
4.6
10
3.9
3.9
3.9
4.9
11
2.5
3.8
2.5
4.7
12
4.7
1.9
6.7
1.4
13
6.1
7.7
8.4
8.8
14
7.1
6.3
8.3
5.7
15
7.3
5.6
6.9
6.7
16
6.7
7.1
7.1
9.4
17
5.5
6.4
3.4
5.3
|18
4.8
5.1
1.2
9.2
19
7.4
7.8
4.2
5.6
20
6.2
4.5
7.2
6.2
Transcribed Image Text:Day Time 1 Time 2 Time 3 Time 4 1 7.2 9.2 9.4 9.5 2 5.4 8.8 3.1 4.4 3 5.7 8.7 3.4 5.5 3.5 7.7 5.4 7.4 9.8 4.5 4.6 5.9 6. 8.9 9.8 9.8 6.3 7 5.2 6.4 5.1 5.5 8.7 5.3 8.7 6.6 5.8 4.7 4.1 4.6 10 3.9 3.9 3.9 4.9 11 2.5 3.8 2.5 4.7 12 4.7 1.9 6.7 1.4 13 6.1 7.7 8.4 8.8 14 7.1 6.3 8.3 5.7 15 7.3 5.6 6.9 6.7 16 6.7 7.1 7.1 9.4 17 5.5 6.4 3.4 5.3 |18 4.8 5.1 1.2 9.2 19 7.4 7.8 4.2 5.6 20 6.2 4.5 7.2 6.2
A local bank wants to study waiting times of customers. A subgroup of four customers is selected, 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 control charts for the range and the mean.
(b) Is the process in control?
Click the icon to view the data.
(a) Construct a control chart for the range. Choose the correct graph below.
O A.
O B.
Oc.
O D.
UCL
8-
UCL
8-
LCL
20
0-
0-
0-
0-
20
20
20
Construct a control chart for the mean. Choose the correct graph below.
OA.
O B.
Oc.
OD.
10-
10-
10-
10-
UCL
--UCL
wwww.
UCL
UCL
ELCL
ELCL
0-
0-
0-
0-
20
20
20
20
(b) Is the process in control?
A. No, because there is an obvious pattern in the R chart
O B. No, because there is at least one point on both charts that lies outside the control limits
O C. No, because there is at least one point on the R chart that lies outside the control limits
D. Yes, because no points lie outside the control limits and there are no obvious patterns on either chart
Transcribed Image Text:A local bank wants to study waiting times of customers. A subgroup of four customers is selected, 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 control charts for the range and the mean. (b) Is the process in control? Click the icon to view the data. (a) Construct a control chart for the range. Choose the correct graph below. O A. O B. Oc. O D. UCL 8- UCL 8- LCL 20 0- 0- 0- 0- 20 20 20 Construct a control chart for the mean. Choose the correct graph below. OA. O B. Oc. OD. 10- 10- 10- 10- UCL --UCL wwww. UCL UCL ELCL ELCL 0- 0- 0- 0- 20 20 20 20 (b) Is the process in control? A. No, because there is an obvious pattern in the R chart O B. No, because there is at least one point on both charts that lies outside the control limits O C. No, because there is at least one point on the R chart that lies outside the control limits D. Yes, because no points lie outside the control limits and there are no obvious patterns on either chart
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