A product has three quality characteristics. The nominal values of these quality characteristics and their sample covariance matrix have been determined from the analysis of 30 preliminary samples of size n=10 as it is show in the Excel file. The sample means for each quality characteristic for 15 additional samples of size n=10 are shown in table. Is the process in statistical control?
ANSWER::
Here, I have used Minitab to prepare the graph and to draw the associated results,
steps are - Go to Stat > control Charts > Variable charts for subgroups > X bar R Charts
charts for given data:
Result:
TEST 1. One point more than 3.00 standard deviations from center
line.
Test Failed at points: 10
TEST 5. 2 out of 3 points more than 2 standard deviations from
center line (on one side of
CL).
Test Failed at points: 10
hence, we can conclude that process is out of control,
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