The management of WA Industries is concerned about the production of a special m
ID: 443477 • Letter: T
Question
The management of WA Industries is concerned about the production of a special metal screw used for the company's largest customer. The diameter of the screw is critical to the customers. Data from five samples appear below, along with the average and range for each sample, and the average range and average of the averages for the entire data set.
Assume the UCL for the R chart = 0.0035 and the LCL for the R chart = 0.
Assume the UCL for the Xbar chart = 0.5039 and the LCL for the Xbar chart = 0.5015
From the control chart, do you conclude that there is assignable variation in the process?
Yes, there is assignable variation
No, there is not assignable variation
Observations Sample Number 1 2 3 4 Range Average 1 0.5014 0.5022 0.5009 0.5027 0.0018 0.5018 2 0.5021 0.5041 0.5024 0.502 0.0021 0.5027 3 0.5018 0.5026 0.5035 0.5023 0.0017 0.5026 4 0.5008 0.5034 0.5024 0.5015 0.0026 0.5020 5 0.5041 0.5056 0.5034 0.5047 0.0022 0.5045 Average 0.0021 0.5027Explanation / Answer
R-bar= 0.0021 i.e. the average of sample ranges and UCL is 0.0035 and LCL is 0. So, the R-bar is within the upper and lower limit. Hence, from R-bar chart it can be said that the process is in control.
Similarly. X-Bar=0.5027 i.e. the average of sample averages and UCL is 0.5039 and LCL is 0.5015. So, the X-bar is within the upper and lower limit. Hence, from X-bar chart it can be said that the process is in control.
Therefore it can be concluded that there is no assignable variation in the process
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