Business, 28.10.2020 16:30 00109625

Five data entry operators work at the data processing department of the Birmingham Bank. Each day for 30 days, the number of defective records in a sample of 200 records typed by these operators has been noted, as follows: Sample No. No. Defectives Sample No. No. Defectives Sample No. No. Defectives 1 7 11 6 21 18 2 6 12 6 22 12 3 20 13 15 23 6 4 10 14 3 24 6 5 10 15 11 25 14 6 8 16 7 26 9 7 12 17 13 27 14 8 10 18 5 28 6 9 5 19 17 29 11 10 14 20 16 30 4 a) Establish 3sigma upper and lower control limits. UCL Subscript p =

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Answer from: jessicathegr823

UCL = 22.336

LCL= -2.936

Explanation:

Sple No. No. Defectives Sple No. No. Defectives Sple No. No. Defectives

1 7 11 6 21 1 8

2 6 12 6 22 12

3 20 13 15 23 6

4 10 14 3 24 6

5 10 15 11 25 14

6 8 16 7 26 9

7 12 17 13 27 14

8 10 18 5 28 6

9 5 19 17 29 11

10 14 20 16 30 4

UCL= X~+ 3σ

LCL= X~- 3σ

Using calculator we get

X`= ∑x/n=7 + 6 +18+ 6 + 6 +12 + 20+ 15 + 6 + 10 + 3+ 6 + 10 + 11+ 14+ 8+ 7+ 9+ 12 + 13+ 14 + 10 + 5 + 6 + 5 + 17 +11+ 14+ 16+ 4/30 = 9.7

σ= 4.212

UCL = 9.7 + 3(4.212) = 22.336

LCL= 9.7 - 3(4.212) = -2.936

Answer from: Quest

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