a) A machine is set to produce a diameter of 9 mm nominal, and a sample of five pieces is taken every hour, Table 3(a). Over the first 10 samples the following results were obtained; 1 2 3 4 6 7 8 10 Sample No. 9.05 9.05 9.04 9.04 9.06 9.06 9.04 9.06 9.05 9.03 9.03 9.04 9.05 9.04 9.04 9.04 9.07 9.03 9.05 9.06 9.03 9.06 9.04 9.04 9.05 9.05 9.06 9.03 9.05 9.04 9.04 9.04 9.06 9.05 9.05 9.04 9.06 9.04 9.06 9.05 9.06 9.05 9.04 9.04 9.06 9.04 9.05 9.05 9.05 9.03 Table 3(a) i. Calculate the control limits for this process ii. Graph the sample data for both the X-bar and R-bar charts. iii. Explain if this machine is adjusted and in control?
a) A machine is set to produce a diameter of 9 mm nominal, and a sample of five pieces is taken every hour, Table 3(a). Over the first 10 samples the following results were obtained; 1 2 3 4 6 7 8 10 Sample No. 9.05 9.05 9.04 9.04 9.06 9.06 9.04 9.06 9.05 9.03 9.03 9.04 9.05 9.04 9.04 9.04 9.07 9.03 9.05 9.06 9.03 9.06 9.04 9.04 9.05 9.05 9.06 9.03 9.05 9.04 9.04 9.04 9.06 9.05 9.05 9.04 9.06 9.04 9.06 9.05 9.06 9.05 9.04 9.04 9.06 9.04 9.05 9.05 9.05 9.03 Table 3(a) i. Calculate the control limits for this process ii. Graph the sample data for both the X-bar and R-bar charts. iii. Explain if this machine is adjusted and in control?
Practical Management Science
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Transcribed Image Text:a) A machine is set to produce a diameter of 9 mm nominal, and a sample of five
pieces is taken every hour, Table 3(a). Over the first 10 samples the following
results were obtained;
1
2
3
4
5
6
8
9
10
Sample No.
9.05
9.05
9.04
9.04
9.06
9.06
9.04
9.06
9.05
9.03
9.03
9.04
9.05
9.04
9.04
9.04
9.07
9.03
9.05
9.06
9.03
9.06
9.04
9.04
9.05
9.05
9.06
9.03
9.05
9.04
9.04
9.04
9.06
9.05
9.05
9.04
9.06
9.04
9.06
9.05
9.06
9.05
9.04
9.04
9.06
9.04
9.05
9.05
9.05
9.03
Table 3(a)
i.
Calculate the control limits for this process
ii.
Graph the sample data for both the X-bar and R-bar charts.
iii.
Explain if this machine is adjusted and in control?
From the information in Table 3(a), estimate the standard deviation of
the process, ô .
iv.
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