Question 1. How many statements are true? (A) 0 (B) 1 (C) 2 (D) 3 (E) 4 Statemen
ID: 327587 • Letter: Q
Question
Question 1. How many statements are true?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Statement 1. Control limits for both P and C charts can never be negative.
Statement 2. The method of assignable cause is part of a quality program consisting of planning, assurance, and control.
Statement 3. Acceptance sampling plan are based on the statistical principles of test of hypothesis and statistical process control charts are based on the statistical principles of confidence intervals.
Statement 4. The objective of a statistical process control chart is to monitor the control of a process over time by measuring a quality characteristic to improve the process.
Questions 2-5.
The machine that cuts metal holders for electronic pencil sharpeners is being monitored with statistical process control charts. Use the experimental data below to determine the center line (CL), upper control limit (UCL), and lower control limit (LCL) for each of the control charts M, R, C, and P. Assume the sample size for the experiment and for each control chart is six which is the number of metal holders per sample. Construct a P-chart for defectives per lot, a C-chart for the number of defects per lot, and M-chart and R-chart for the average length per lot. Although the data set from the experiment is small, assume an item is defective only if the length is greater than 23mm or less than 15mm. An item contains a defect only if it violates any of the set of quality characteristics. The set of quality characteristics is not given to us but the number of defects for each item has been determined and reported in the table below. Note that a defect in an item does not cause a defective item and a defective item does not cause a defect in the item. Keep the number of defects and defectives separate because the definition of a defect is different than a defective. In determining the control charts, construct each sample with consecutive item numbers beginning with item #1.
Metal
Holder#
Defects
Length
(mm)
1
0
22
2
0
22
3
0
16
4
0
24
5
0
22
6
0
21
7
0
21
8
0
22
9
0
22
10
1
21
11
0
16
12
0
20
13
0
22
14
0
22
15
0
22
16
0
16
17
0
25
18
0
20
19
0
19
20
1
17
21
0
19
22
0
14
23
0
18
24
0
17
Question 2. What is the upper control limit, center line, and lower control limit
for the M chart?
(A) (
14.90
,
20.00
,
25.10
)
(B) (
16.62
,
20.00
,
25.10
)
(C) (
14.90
,
20.00
,
23.38
)
(D) (
16.62
,
20.00
,
23.38
)
(E) None of the above
Question 3. What is the upper control limit, center line, and lower control limit
for the R chart?
(A) (
-0.03
,
7.00
,
14.03
)
(B) (
-1.97
,
7.00
,
15.97
)
(C) (
0.00
,
7.00
,
14.03
)
(D) (
0.00
,
7.00
,
15.97
)
(E) None of the above
Question 4. What is the upper control limit, center line, and lower control limit
for the P chart?
(A) (
-0.01
,
0.13
,
0.68
)
(B) (
0.00
,
0.13
,
0.53
)
(C) (
-0.28
,
0.13
,
0.53
)
(D) (
0.00
,
0.13
,
0.68
)
(E) None of the above
Question 5. What is the upper control limit, center line, and lower control limit
for the C chart?
(A) (
0.00
,
0.50
,
2.62
)
(B) (
-1.62
,
0.50
,
2.62
)
(C) (
0.00
,
0.50
,
1.21
)
(D) (
-0.21
,
0.50
,
1.21
)
(E) None of the above
Metal
Holder#
Defects
Length
(mm)
1
0
22
2
0
22
3
0
16
4
0
24
5
0
22
6
0
21
7
0
21
8
0
22
9
0
22
10
1
21
11
0
16
12
0
20
13
0
22
14
0
22
15
0
22
16
0
16
17
0
25
18
0
20
19
0
19
20
1
17
21
0
19
22
0
14
23
0
18
24
0
17
Explanation / Answer
The correct answer is (D) 3. The control limits for both P and C charts can be negative values but the negative number is not entertained as it will not have a meaning.
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