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Statistics for Managers Study Set 1
Quiz 18: Statistical Applications in Quality Management
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Question 81
Multiple Choice
Which of the following is a method for breaking process into a series of steps in order to eliminate defects and produce near perfect results?
Question 82
True/False
Total Production Maintenance is among the tools of Lean Six Sigma.
Question 83
Short Answer
SCENARIO 18-8 Recently, a university switched to a new type of computer-based registration. The registrar is concerned with the amount of time students are spending on the computer registering under the new system. She decides to randomly select 8 students on each of the 12 days of the registration and determine the time each spends on the computer registering. The range, mean, and standard deviation of the times required to register are in the table that follows.
 DayÂ
‾
 RangeÂ
 MeanÂ
‾
 Std.Dev.Â
‾
1
10
5.250
3.4949
2
31
15.250
10.3060
3
13
20.375
4.9262
4
21
22.875
8.3911
5
35
8.500
11.3767
6
18
7.875
6.9372
7
25
11.250
8.5815
8
30
7.875
9.5235
9
17
10.250
6.3640
10
22
9.500
7.8740
11
27
7.875
8.7086
12
26
12.875
9.3723
\begin{array} { r l r l } \underline { \text { Day } } & \text { Range } & \underline { \text { Mean } } & \underline { \text { Std.Dev. } } \\1 & 10 & 5.250 & 3.4949 \\2 & 31 & 15.250 & 10.3060 \\3 & 13 & 20.375 & 4.9262 \\4 & 21 & 22.875 & 8.3911 \\5 & 35 & 8.500 & 11.3767 \\6 & 18 & 7.875 & 6.9372 \\7 & 25 & 11.250 & 8.5815 \\8 & 30 & 7.875 & 9.5235 \\9 & 17 & 10.250 & 6.3640 \\10 & 22 & 9.500 & 7.8740 \\11 & 27 & 7.875 & 8.7086 \\12 & 26 & 12.875 & 9.3723\end{array}
 DayÂ
​
1
2
3
4
5
6
7
8
9
10
11
12
​
 RangeÂ
10
31
13
21
35
18
25
30
17
22
27
26
​
 MeanÂ
​
5.250
15.250
20.375
22.875
8.500
7.875
11.250
7.875
10.250
9.500
7.875
12.875
​
 Std.Dev.Â
​
3.4949
10.3060
4.9262
8.3911
11.3767
6.9372
8.5815
9.5235
6.3640
7.8740
8.7086
9.3723
​
-Referring to Scenario 18-8, an R chart is to be constructed for the time required to register. The lower control limit for this data set is ________.
Question 84
Multiple Choice
Which of the following is not part of the DMAIC process in Six Sigma management?
Question 85
Short Answer
SCENARIO 18-8 Recently, a university switched to a new type of computer-based registration. The registrar is concerned with the amount of time students are spending on the computer registering under the new system. She decides to randomly select 8 students on each of the 12 days of the registration and determine the time each spends on the computer registering. The range, mean, and standard deviation of the times required to register are in the table that follows.
 DayÂ
‾
 RangeÂ
 MeanÂ
‾
 Std.Dev.Â
‾
1
10
5.250
3.4949
2
31
15.250
10.3060
3
13
20.375
4.9262
4
21
22.875
8.3911
5
35
8.500
11.3767
6
18
7.875
6.9372
7
25
11.250
8.5815
8
30
7.875
9.5235
9
17
10.250
6.3640
10
22
9.500
7.8740
11
27
7.875
8.7086
12
26
12.875
9.3723
\begin{array} { r l r l } \underline { \text { Day } } & \text { Range } & \underline { \text { Mean } } & \underline { \text { Std.Dev. } } \\1 & 10 & 5.250 & 3.4949 \\2 & 31 & 15.250 & 10.3060 \\3 & 13 & 20.375 & 4.9262 \\4 & 21 & 22.875 & 8.3911 \\5 & 35 & 8.500 & 11.3767 \\6 & 18 & 7.875 & 6.9372 \\7 & 25 & 11.250 & 8.5815 \\8 & 30 & 7.875 & 9.5235 \\9 & 17 & 10.250 & 6.3640 \\10 & 22 & 9.500 & 7.8740 \\11 & 27 & 7.875 & 8.7086 \\12 & 26 & 12.875 & 9.3723\end{array}
 DayÂ
​
1
2
3
4
5
6
7
8
9
10
11
12
​
 RangeÂ
10
31
13
21
35
18
25
30
17
22
27
26
​
 MeanÂ
​
5.250
15.250
20.375
22.875
8.500
7.875
11.250
7.875
10.250
9.500
7.875
12.875
​
 Std.Dev.Â
​
3.4949
10.3060
4.9262
8.3911
11.3767
6.9372
8.5815
9.5235
6.3640
7.8740
8.7086
9.3723
​
-Referring to Scenario 18-8, an R chart is to be constructed for the time required to register. One way to create the lower control limit involves multiplying the mean of the sample ranges by
D
3
D _ { 3 }
D
3
​
. For this data set, the value of
D
3
D _ { 3 }
D
3
​
is ________.
Question 86
True/False
SS method is among the tools of Lean Six Sigma.
Question 87
Multiple Choice
Developing operational definitions for each critical-to-quality characteristic involves which part of the DMAIC process?
Question 88
True/False
Quick Changeover Techniques is among the tools of Lean Six Sigma.
Question 89
Short Answer
SCENARIO 18-8 Recently, a university switched to a new type of computer-based registration. The registrar is concerned with the amount of time students are spending on the computer registering under the new system. She decides to randomly select 8 students on each of the 12 days of the registration and determine the time each spends on the computer registering. The range, mean, and standard deviation of the times required to register are in the table that follows.
 DayÂ
‾
 RangeÂ
 MeanÂ
‾
 Std.Dev.Â
‾
1
10
5.250
3.4949
2
31
15.250
10.3060
3
13
20.375
4.9262
4
21
22.875
8.3911
5
35
8.500
11.3767
6
18
7.875
6.9372
7
25
11.250
8.5815
8
30
7.875
9.5235
9
17
10.250
6.3640
10
22
9.500
7.8740
11
27
7.875
8.7086
12
26
12.875
9.3723
\begin{array} { r l r l } \underline { \text { Day } } & \text { Range } & \underline { \text { Mean } } & \underline { \text { Std.Dev. } } \\1 & 10 & 5.250 & 3.4949 \\2 & 31 & 15.250 & 10.3060 \\3 & 13 & 20.375 & 4.9262 \\4 & 21 & 22.875 & 8.3911 \\5 & 35 & 8.500 & 11.3767 \\6 & 18 & 7.875 & 6.9372 \\7 & 25 & 11.250 & 8.5815 \\8 & 30 & 7.875 & 9.5235 \\9 & 17 & 10.250 & 6.3640 \\10 & 22 & 9.500 & 7.8740 \\11 & 27 & 7.875 & 8.7086 \\12 & 26 & 12.875 & 9.3723\end{array}
 DayÂ
​
1
2
3
4
5
6
7
8
9
10
11
12
​
 RangeÂ
10
31
13
21
35
18
25
30
17
22
27
26
​
 MeanÂ
​
5.250
15.250
20.375
22.875
8.500
7.875
11.250
7.875
10.250
9.500
7.875
12.875
​
 Std.Dev.Â
​
3.4949
10.3060
4.9262
8.3911
11.3767
6.9372
8.5815
9.5235
6.3640
7.8740
8.7086
9.3723
​
-Referring to Scenario 18-8, an
X
ˉ
\bar { X }
X
ˉ
chart is to be used for the time required to register. One way to obtain the control limits is to take the grand mean and add and subtract the product of A2 times the mean of the sample ranges. For this data set, the value of
A
2
A _ { 2 }
A
2
​
is ________.
Question 90
Multiple Choice
Determining the root causes of why defects can occur along with the variables in the process that cause these defects to occur involves which part of the DMAIC process?
Question 91
Essay
SCENARIO 18-8 Recently, a university switched to a new type of computer-based registration. The registrar is concerned with the amount of time students are spending on the computer registering under the new system. She decides to randomly select 8 students on each of the 12 days of the registration and determine the time each spends on the computer registering. The range, mean, and standard deviation of the times required to register are in the table that follows.
 DayÂ
‾
 RangeÂ
 MeanÂ
‾
 Std.Dev.Â
‾
1
10
5.250
3.4949
2
31
15.250
10.3060
3
13
20.375
4.9262
4
21
22.875
8.3911
5
35
8.500
11.3767
6
18
7.875
6.9372
7
25
11.250
8.5815
8
30
7.875
9.5235
9
17
10.250
6.3640
10
22
9.500
7.8740
11
27
7.875
8.7086
12
26
12.875
9.3723
\begin{array} { r l r l } \underline { \text { Day } } & \text { Range } & \underline { \text { Mean } } & \underline { \text { Std.Dev. } } \\1 & 10 & 5.250 & 3.4949 \\2 & 31 & 15.250 & 10.3060 \\3 & 13 & 20.375 & 4.9262 \\4 & 21 & 22.875 & 8.3911 \\5 & 35 & 8.500 & 11.3767 \\6 & 18 & 7.875 & 6.9372 \\7 & 25 & 11.250 & 8.5815 \\8 & 30 & 7.875 & 9.5235 \\9 & 17 & 10.250 & 6.3640 \\10 & 22 & 9.500 & 7.8740 \\11 & 27 & 7.875 & 8.7086 \\12 & 26 & 12.875 & 9.3723\end{array}
 DayÂ
​
1
2
3
4
5
6
7
8
9
10
11
12
​
 RangeÂ
10
31
13
21
35
18
25
30
17
22
27
26
​
 MeanÂ
​
5.250
15.250
20.375
22.875
8.500
7.875
11.250
7.875
10.250
9.500
7.875
12.875
​
 Std.Dev.Â
​
3.4949
10.3060
4.9262
8.3911
11.3767
6.9372
8.5815
9.5235
6.3640
7.8740
8.7086
9.3723
​
-Referring to Scenario 18-8, construct an R chart for the time required to register.
Question 92
Multiple Choice
Maintaining the gains that have been made with a revised process in the long term by avoiding potential problems that can occur when a process is changed involves which part of the DMAIC Process?