Asked by Mitchell Brooks on Jun 22, 2024
Verified
Find the control limits for the R-chart with 
= 7 and sample size of 7.
A) LCL = 2.622 and UCL = 66.378
B) LCL = 0 and UCL = 14.028
C) LCL = 0.532 and UCL = 13.468
D) LCL = 27.5 and UCL = 41.5
Control Limits
Statistical boundaries in process control that indicate the acceptable range of variation for a process to be considered in control.
R-chart
A type of control chart used in statistical quality control to monitor the range of variability within a sample.
- Calculate and interpret control limits for quality control charts.
Verified Answer
KS
kawal singhJun 26, 2024
Final Answer :
C
Explanation :
The control limits for the R-chart can be calculated using the formula LCL = D3*R and UCL = D4*R, where D3 and D4 are constants from a table based on the sample size and R is the average range of the samples. For a sample size of 7, D3 = 0 and D4 = 2.574. Therefore, LCL = 0.532*R and UCL = 13.468*R. Using the given value of 7 for R, we get LCL = 2.622 and UCL = 66.378, which corresponds to option C.
Learning Objectives
- Calculate and interpret control limits for quality control charts.