Observations on shear strength for 26 subgroups of test spot welds, each consisting of six welds, yield
Find the control limits for any relevant control chart.
Answer to Problem 41SE
The limits are
The control chart is,
Explanation of Solution
Given info:
The data related to the shear strength for 26 subgroups where each subgroup consists of six welds. It is also given that
Calculation:
One can consider
Control limits for
where
The random variable X defines the shear strength.
There are 26 subgroups where each subgroup consists of six welds. Thus,
Hence,
Using the given information the sample mean of s is defined as,
According to book, the value of
Now, the control limits are,
Thus, the control limits are
Therefore, the control chart is,
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Chapter 16 Solutions
Probability and Statistics for Engineering and the Sciences
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