Answer and Explanation:
The computation of the upper and lower control limits for R-chart is shown below:
Upper Control limit of [tex]\bar x[/tex] chart is
[tex]\bar x[/tex] + A2 × [tex]\bar R[/tex]
=705 + 0.483 × 17
=713.21
Lower Control Limit Of [tex]\bar x[/tex] Chart is
[tex]\bar x[/tex]- A2 × [tex]\bar R[/tex]
= 705 - 0.483 × 17
= 696.789
The A2 value could be taken from the X bar and R bar chart having a sample size of 6
Now
Upper control limit of R Chart
= D4 × [tex]\bar R[/tex]
= 2.004 × 17
= 34.068
And,
Lower limit of R chart
= D3 × [tex]\bar R[/tex]
= 0.076 × 17
= 1.292
The D3 value is not available for the sample size 6 so we took the values of sample size 6
Also the D3, D4, and A2 could be taken from X bar tables and the range chart
