Question

A random sample of 100 Modern Art dinning room tables that came off the firm's assembly...

A random sample of 100 Modern Art dinning room tables that came off the firm's assembly line is examined. Careful inspection reveals a total of 2,000 blemishes. What are the 99.7% upper and lower control limits for the number of blemishes? If one table had 42 blemishes, should any special action be taken?

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Answer #1

The average number of blemishes per table = 2000 100

The average number of blemishes per table = 20

The Z score for 99.7% confidence level equals 3

Control limits =

UCL = 20 + 3

LCL = 20 -  3

The sample standard deviation is not given.

If one table had 42 blemishes, it is highly likely the number of blemishes of this table is above the upper control limit. Thus this table needs special attention.

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