Thermostats are subjected to rigorous testing before they are shipped to air conditioning technicians around the world. Results from the last five samples are shown in the table. Is the process under control?
Unit # Sample 1 Sample 2 Sample 3 Sample 4 Sample 5
1 73.5 70.8 72.2 73.6 71.0
2 71.3 71.0 73.1 72.7 72.2
3 70.0 72.6 71.9 72.4 73.3
4 71.1 70.6 70.3 74.2 73.6
5 70.8 70.7 70.7 73.5 71.1
= = = 71.93
= = = 2.54
= + A2 = 71.93 + 0.577 × 2.54 = 73.394
= - A2 = 71.93 - 0.577 × 2.54 = 70.462
UCLR = D4 = 2.115 × 2.54 = 5.372
LCLR = D3 = 0.0 × 2.54 = 0.0
R-chart is in control
x-bar chart is in control
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