ISYE 3039 HW4solutions

# ISYE 3039 HW4solutions - ISyE 3039A HW4 Solution 4-24. The...

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ISyE 3039A HW4 Solution 4-24. The patterns in Figure (a) ~ (e) match the control charts in Figure (2), (4), (5), (1), and (3), respectively. 5-3. (a) The process is in statistical control with no out-of-control signals, runs, trend, or cycles. (b) 3 . 27 326 . 2 5 . 63 ˆ 2 = = = d R x σ (c) [LSL, USL] = [-100, +100] 22 . 1 3 . 27 6 ) 100 ( 100 ˆ 6 ˆ = × = = x p LSL USL C , so the process is capable. 1

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1350 ; 870 , 12 30; ; 6 30 1 30 1 = = = = = = i i i i R x m n (a) 0 45 0 18 . 90 45 004 . 2 45 30 1350 3 4 1 = × = = = × = = = = = = R D LCL R D UCL m R R R R m i i (b) 758 . 17 534 . 2 45 ˆ 429 30 12870 ˆ 2 1 = = = = = = = = d R m x x x m i i σ μ (c) ()( ) 0533 . 0 0512 . 0 9979 . 0 1 63 . 1 87 . 2 1 758 . 17 429 400 758 . 17 429 480 1 ˆ 751 . 0 758 . 17 6 400 480 ˆ 6 ˆ 400 40 440 ; 480 40 440 = + = Φ + Φ = Φ + Φ = = × = = = = = + = p LSL USL C LSL USL x p 2
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## This homework help was uploaded on 04/18/2008 for the course ISYE 3039 taught by Professor Roshanv during the Spring '08 term at Georgia Tech.

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ISYE 3039 HW4solutions - ISyE 3039A HW4 Solution 4-24. The...

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