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Problem 2: Control charts for X chart and Shave been maintained on a process and have exhibited statistical control. The sample size is n 6. The control chart parameters are as follows: Chart s Chart UCL 3420 UCL 708.20 line -706.00 Center line -1.738 Center LCL 703.80 LCL 0.052 (a) Estimate the mean and standard deviation of the process. (b) Assume that the process output is well modeled by a normal distribution. If specifications are 703 and 709, estimate the fraction nonconforming. (c) Suppose the process mean shifts to 702.00 while the standard deviation remains constant. What is the probability of an out-of-control signal occurring on the first sample following the shift? (d For the shift in part (c), what is the probability of detecting the shift by at least the third subsequent sample?

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Answer #1

n-1 6-1 2 0.9So2 イ: 1.738 a I.8 2712 lue med to calculae

703-706 109- 70s 1.8 218 I. 8 213 : O.OSOS +1-취 О.949S, ztandaad O.1O to Nota ha ,

02: 706 +KX 1.8248 2 0.0091y a shift on 1st sample] a -0 00914 0908 the ihi hampa the skipt in 1st sample] 1-D.99086)-099086(

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Answer #2

how is n- 1/2 when n=6, meaning 6 - 1/2 

= 5/2?

6-1/2 should be equal to 11/2. 

simple math xD.

source: myself
answered by: anonymous
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