(a) Plot these new observations on the control chart. What conclusions can you draw about process stability? (b) Use all 25 observations to revise the control lim- its for the i and R charts. What conclusions can you draw now about the process?

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Solve Exc.6.42-43 given at Pic.2. Explain the results with a plain expression, support with graphs.

Specifications on a cigar lighter detent are 0.3220
and 0.3200 in. Samples of size 5 are taken every
45 min with the results shown in Table 6E.18 (mea-
sured as deviations from 0.3210 in 0.0001 in.).
1 TABLE 6E.18
New Data for Exercise 6.43
Data for Exercise 6.42
Continuation of Exercise 6.42. Reconsider the data
Sample
Sample
Number
from Exercise 6.42 and establish I and R charts with
X1
appropriate trial control limits. Revise these trial lim-
its as necessary to produce a set of control charts for
monitoring future production. Suppose that the new
Number
X2
X3
X4
X5
16
2
10
9.
6
1
1
9
6
9
17
1
9.
5
9
4
9
4
3
3
18
9
8
2.
data in Table 6E.19 are observed.
(a) Plot these new observations on the control chart.
What conclusions can you draw about process
stability?
(b) Use all 25 observations to revise the control lim-
9
3
2
19
-3
1
4
1
1
1
20
2
10
1
-3
-1
-4
21
-5
4
6
-1
6.
-7
2
2
22
-5
4
7
-3
-1
-1
-2
23
10
3
1
its for the I and R charts. What conclusions can
8
-2
-3
-3
-2
24
-1
-3
you draw now about the process?
9
2
-1
-3
25
-1
-2
10
-1
-1
Please explain the results with a plain expression, support with graphs.
11
-3
-2
-1
-1
2
12
-16
-4
-1
13
-6
-3
-8
14
-3
-5
15
-1
-1
-1
-2
-1
Transcribed Image Text:Specifications on a cigar lighter detent are 0.3220 and 0.3200 in. Samples of size 5 are taken every 45 min with the results shown in Table 6E.18 (mea- sured as deviations from 0.3210 in 0.0001 in.). 1 TABLE 6E.18 New Data for Exercise 6.43 Data for Exercise 6.42 Continuation of Exercise 6.42. Reconsider the data Sample Sample Number from Exercise 6.42 and establish I and R charts with X1 appropriate trial control limits. Revise these trial lim- its as necessary to produce a set of control charts for monitoring future production. Suppose that the new Number X2 X3 X4 X5 16 2 10 9. 6 1 1 9 6 9 17 1 9. 5 9 4 9 4 3 3 18 9 8 2. data in Table 6E.19 are observed. (a) Plot these new observations on the control chart. What conclusions can you draw about process stability? (b) Use all 25 observations to revise the control lim- 9 3 2 19 -3 1 4 1 1 1 20 2 10 1 -3 -1 -4 21 -5 4 6 -1 6. -7 2 2 22 -5 4 7 -3 -1 -1 -2 23 10 3 1 its for the I and R charts. What conclusions can 8 -2 -3 -3 -2 24 -1 -3 you draw now about the process? 9 2 -1 -3 25 -1 -2 10 -1 -1 Please explain the results with a plain expression, support with graphs. 11 -3 -2 -1 -1 2 12 -16 -4 -1 13 -6 -3 -8 14 -3 -5 15 -1 -1 -1 -2 -1
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