CHAPTER 9 EXERCISES (SS 9.17 The data in Table 9E.1 represent individual observa- ical process. Table 9E.1 Molecular Weight a Observation Observation Number X Number X 1 1,045 11 1,139 2 1,055 12 1,169 34 3 1,037 13 1,151 1,064 14 1,128 5 1,095 15 1,238 6 1,008 16 1,125 7 1,050 17 1,163 8 1,087 18 1,188 9 1,125 19 1,146 10 1,146 20 1,167 The target value of molecular weight is 1,050 and the process standard deviation is thought to be about σ = 25. a. Set up a tabular CUSUM for the mean of this pro- cess. Design the CUSUM to quickly detect a shift of about 1.00 in the process mean. b. Is the estimate of σ used in part (a) of this problem reasonable?

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CHAPTER 9 EXERCISES
(SS
9.17
The data in Table 9E.1 represent individual observa-
ical process.
Table 9E.1 Molecular Weight
a
Observation
Observation
Number
X
Number
X
1
1,045
11
1,139
2
1,055
12
1,169
34
3
1,037
13
1,151
1,064
14
1,128
5
1,095
15
1,238
6
1,008
16
1,125
7
1,050
17
1,163
8
1,087
18
1,188
9
1,125
19
1,146
10
1,146
20
1,167
The target value of molecular weight is 1,050 and
the process standard deviation is thought to be about
σ = 25.
a. Set up a tabular CUSUM for the mean of this pro-
cess. Design the CUSUM to quickly detect a shift
of about 1.00 in the process mean.
b. Is the estimate of σ used in part (a) of this problem
reasonable?
Transcribed Image Text:CHAPTER 9 EXERCISES (SS 9.17 The data in Table 9E.1 represent individual observa- ical process. Table 9E.1 Molecular Weight a Observation Observation Number X Number X 1 1,045 11 1,139 2 1,055 12 1,169 34 3 1,037 13 1,151 1,064 14 1,128 5 1,095 15 1,238 6 1,008 16 1,125 7 1,050 17 1,163 8 1,087 18 1,188 9 1,125 19 1,146 10 1,146 20 1,167 The target value of molecular weight is 1,050 and the process standard deviation is thought to be about σ = 25. a. Set up a tabular CUSUM for the mean of this pro- cess. Design the CUSUM to quickly detect a shift of about 1.00 in the process mean. b. Is the estimate of σ used in part (a) of this problem reasonable?
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