Question

We have m = 5 preliminary samples of size n = 3 (some numbers have unfortunately
been erased by accident by a clumsy co-op student):

We have m = 5 preliminary samples of size n = 3 (some numbers have unfortunately been erased by accident by a clumsy co-op student): i 1 X 1,3 ri X 1,1 X 1,2 27.1 29.4 2 30.6 32.5 3 25.7 35.5 4 31.1 23.2 5 24.1 34.2 1.9 Si 1.3 1.07 4.91 Ti 27.9 31.83 30.4 26.43 28.57 145.13 32.4 30 25 27.4. total: 7.9 10.1 5.15 16.57 32 What is the control chart (give the interval) for X from R?

Answer 1

Answer * Given that m = 5 n=3 .- Hi, I re;, 2 rei, 3 hi ४ Si I 27.1 29.4.127.2 27.9 12.31 1.3 2 30.6 32.5 32.4 31.83 log 1-07 3125.735.5 30 30.4 11.8 6.91 4 31.1 23.2 25 26.43 7.9 6.14 524.1 34.212704 28.57 10. 5.15 Total : Exi - 145.13Edi- 32 Es; -16.57 • Now we have to construct the control chatt jot X Ycom Re J1X ΣΧ; 165.13 5 Ē - 29.026

۹) TN ) lel 6.4 1.693 (6 = 3.780 [here, (d2 = 1.693) which is obtained from the control Chart table] .LOL m = 29.0 26 5* 3.780 53 . 29.026 18.9 20) 1:7320 29.026 - 10-9122 Let s 8.1 38 cl = CL=29.026

m o UOL - Ť + = 29.026 + 5X 3.780 3 = 29. 026 + 18.9 17320 = 29.026 + 10.9122 UCL - 39.938