Question

A process sampled 20 times with a sample of size 8 resulted in  = 23.5 and R = 1.8.

Compute the upper and lower control limits for the x chart for this process. (Round your answers to two decimal places.)

UCL=________.

LCL=________.

Compute the upper and lower control limits for the R chart for this process. (Round your answers to two decimal places.)

UCL=_________.

LCL=___________.

Answer 1

Answer:

Given,

n = 20 , X = 23.5 , R = 1.8

1) for X bar chart:

A2 = 0.373 ( from table )

upper control limit = x̅ + A2R̅ =	24.17
lower control limit = x̅ - A2R̅ =	22.82

2)

Using Table (D4 = 1.864 , D3 = 0.136 )

for R chart:

upper control limit = D4R̅ =	3.35
lower control limit = D3R̅ =	0.24

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