Answer:
9.37
Explanation:
The computation of LCL for a control chart is shown below:-
Sample Obs 1 Obs 2 Obs 3 Obs 4 Mean observation Range
1 10 12 12 14 12 4
2 12 11 13 16 13 5
3 11 13 14 14 13 3
4 11 10 7 8 9 4
5 13 12 14 13 13 2
For computing the mean observation and range we will use the below formulas
Mean observation = ( Obs 1 + Obs 2 + Obs 3 + Obs 4) ÷ 4
Range = Highest value - Lowest value
= ( 12 + 13 + 13 + 9 + 13 ) ÷ 5
= 12
= ( 4 + 5 + 3 + 4 + 2 ) ÷ 5
= 3.6
Since we found the value of A2 with the help of constants table for control charts for a 4 subgroup size.
A2 = 0.729
12 - 0.729 × 3.6
= 9.37
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