Question

A production process that is in control has a population mean (μ ) of 10 and a standard deviation (σ) of 0.3. Sample of size 9 are used for the inspection process.

a) Determine the lower control limit (LCL). Please show your work for full credit.

b) Determinethecenterline/limit.

c) Determinetheuppercontrollimit(UCL).Pleaseshowyourworkforfullcredit.

Answer 1

a) The lower control limit is

$= \mu - 3\sigma$

= 10 - 3 * 0.3

= 9.1

b) The centerline is the population mean which is equal to 10.

c) The upper control limit is

$\bg_white = \mu + 3\sigma$

= 10 + 3 * 0.3

= 10.9

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