Please answer 2 nd question : Specifications on a cigar lighter detent are 0.322

Question

Please answer 2 nd question :

Specifications on a cigar lighter detent are 0.3220 and 0.3200 in. Samples of size 5 are taken every 45 min with the results shown in the table as follows: (measured as deviations from 0.3210 in 0.0001 in.) Sample Number x1 x2 x3 x4 x5 1 1 9 6 9 6 2 9 4 3 0 3 3 0 9 0 3 2 4 1 1 0 2 1 5 ?3 0 ?1 0 ?4 6 ?7 2 0 0 2 7 ?3 ?1 ?1 0 ?2 8 0 ?2 ?3 ?3 ?2 9 2 0 ?1 ?3 ?1 10 0 2 ?1 ?1 2 11 ?3 ?2 ?1 ?1 2 12 ?16 2 0 ?4 ?1 13 ?6 ?3 0 0 ?8 14 ?3 ?5 5 0 5 15 ?1 ?1 ?1 ?2 ?1 Reconsider the data in Question 1 and establish X ? (X bar) and R charts with the appropriate trial control limits. Revise these trial limits as necessary to produce a set of control charts for monitoring future production. Suppose that the new data in the following table: Sample Number x1 x2 x3 x4 x5 16 2 10 9 6 5 17 1 9 5 9 4 18 0 9 8 2 5 19 ?3 0 5 1 4 20 2 10 9 3 1 21 ?5 4 0 6 ?1 22 0 2 ?5 4 6 23 10 0 3 1 5 24 ?1 2 5 6 ?3 25 0 ?1 2 5 ?2 (a) Plot these new observations on the control chart. What conclusions can you draw about process stability? (20 pts) (b) Use all 25 observations to revise the control limits for X ? (X bar) and R charts. What conclusions can you draw now about the process? (15 pts)

File Final assignment - Word lools 1. Specifications on a cigar lighter detent are 0.3220 and 0.3200 in. Sample Number 16 10 Samples of size 5 are taken every 45 min with the results shown in the table as follows: (measured as deviations from 0.3210 in 0.0001 in.) 18 19 21 10 25 Sample Number (a) Plot these new observations on the control chart. What con- clusions can you draw about process stability? (20 pts) (b) Use all 25 observations to revise the control limits for X (X 10 bar) and R charts. What conclusions can vou draw now about 16 12 13 the process? (15 pts) 15 2. Reconsider the data in Question 1 and establish X (X bar) and R charts with the appropriate trial control limits. Revise these trial limits as necessary to produce a set of control charts for monitor- ing future production. Suppose that the new data in the following table: End of document Screens 1-2 of 2 + 150% 8:11 PM 7/3/2016 Search the web and Windows

Explanation / Answer

a)CL R = ¯ R =6 . 467

UCL R = D 4 ¯ R =2 . 114 × 6 . 467 = 13 . 671

LCL R = D 3 ¯ R =0 × 6 . 467 = 0

Obviously sample number 12 has R 12 =18 > UCL. So the process is not in statistical control

b)We can eliminate the out-of-control sample since it has an assignable cause, and re- calculate the UCL (LCL is always 0). With the new control chart ,

CL R = ¯ R =5 . 643

UCL R = D 4 ¯ R =2 . 114 × 5 . 643 = 11 . 929

LCL R =0 This time no samples are outside the control limit and the process is in statistical control. So those are our recommended parameters for on-line control

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