Find the control limits for the -chart with = 4.96, = 0.0285,and sample size of 5.
A)LCL = 4.939 and UCL = 4.981
B)LCL = 4.944 and UCL = 4.976
C)LCL = 4.796 and UCL = 5.124
D)The sample size is too small to determine control limits.

Question

Find the control limits for the  -chart with  = 4.96,  = 0.0285,and sample size of 5.
A)LCL = 4.939 and UCL = 4.981 
B)LCL = 4.944 and UCL = 4.976 
C)LCL = 4.796 and UCL = 5.124 
D)The sample size is too small to determine control limits.

Quizplus · Accepted Answer

The control limits for the  𝑇𝐵2972  chart are calculated as follows:
Center line = 11eabc4c_bb11_4907_8797_f97209e0ebf8_TB2972_11 = 4.96
𝐴2 = 0.577 (from the table for 𝑘=5)
𝑠 = 𝑅/𝑑2 = (4.96 - 0.0285)/(2.326) = 2.117
LCL = 4.96 - 0.577 * 2.117 = 4.944 and UCL = 4.96 + 0.577 * 2.117 = 4.976
Therefore, the best choice is B.

Find the Control Limits for the -Chart with