1. Obs 1 Obs 2 Obs 3 Obs 4 Average Range Sample1 63 58 58 58 59.25 5 Sample2 60
ID: 3224727 • Letter: 1
Question
1.
Obs 1
Obs 2
Obs 3
Obs 4
Average
Range
Sample1
63
58
58
58
59.25
5
Sample2
60
59
60
61
60
2
Sample3
60
58
62
63
60.75
5
Sample4
59
59
59
62
59.75
3
Sample5
60
62
59
57
59.5
5
Sample6
58
58
58
60
?
?
Using this data to establish an SPC chart, what is the LOWER control limit for the x-bar chart? (Note that the size of a sample is 4.)
n
A2
2
1.88
3
1.023
4
0.729
5
0.577
6
0.483
7
0.419
8
0.373
9
0.337
10
0.308
a.
56.95
b.
58.90
c.
62.30
d.
55.96
2. A customer specifies that she needs her daily deliveries made between 4 pm and 9 pm. Your truck leaves the factory at noon, and the time taken to reach the customer is normally distributed with an average of 6.5 hours and a standard deviation of 1 hour. What is the sigma capability of this delivery process?
a.
1.5
b.
3
c.
2
d.
5
e.
2.5
3.
Obs 1
Obs 2
Obs 3
Obs 4
Obs 5
Average
Range
Sample1
311
304
302
314
323
310.8
21
Sample2
316
308
300
301
306
306.2
16
Sample3
319
314
312
302
323
?
?
Sample4
322
320
316
313
318
317.8
9
Sample5
329
327
321
316
325
323.6
13
Sample6
314
326
322
311
329
320.4
18
Using the above data, what is the value for the center line of the X-bar chart?
a.
314.00
b.
15.40
c.
16.33
d.
315.76
e.
315.47
4. Checkout time at a supermarket is going to be monitored using mean and range charts. To establish the control charts, the store manager collected a group of samples using a sample size of ten, and then calculated the mean and range for each sample. What is the UPPER control limit for the R chart?
Mean
Range
Sample 1
9
1.0
Sample 2
8
0.7
Sample 3
9
1.0
Sample 4
5
0.8
Sample 5
6
0.5
Sample 6
5
1.0
Sample 7
5
0.6
Sample 8
6
1.3
n
A2
D3
D4
2
1.88
0
3.267
3
1.023
0
2.575
4
0.729
0
2.282
5
0.577
0
2.115
6
0.483
0
2.004
7
0.419
0.076
1.924
8
0.373
0.136
1.864
9
0.337
0.184
1.816
10
0.308
0.223
1.777
a.
8.16
b.
0.19
c.
0.27
d.
6.82
e.
1.54
Obs 1
Obs 2
Obs 3
Obs 4
Average
Range
Sample1
63
58
58
58
59.25
5
Sample2
60
59
60
61
60
2
Sample3
60
58
62
63
60.75
5
Sample4
59
59
59
62
59.75
3
Sample5
60
62
59
57
59.5
5
Sample6
58
58
58
60
?
?
Explanation / Answer
1)
X=Exi/k
=59.25+….+58.5/6
=59.625
R=ERi/k
=5+….+2/6
=3.67
LCL=X-A2(R)=59.625-0.729(3.67)=59.625-2.675=56.95
Correct answer is a.56.95
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.