Question

Q7 A-C

Q7. A production process that is in control has a population mean (u ) of 10 and a standard deviation (c) of 0.3. Sample of size 9 are used for the inspection process. a) (3pt) Determine the lower control limit (LCL). Please show your work for full credit. b) (2pt) Determine the center line/limit. c) (3pt) Determine the upper control limit (UCL). Please show your work for full credit.

Answer 1

a) The lower control limit here is computed as:

$LCL = \mu - \frac{3*\sigma}{\sqrt{n}} = 10 - \frac{3*0.3}{\sqrt{9}} = 9.7$

b) The Center line / limit is computed here as:

$CL =\mu = 10$

c) The upper control limit is computed here as:

$UCL = \mu + \frac{3*\sigma}{\sqrt{n}} = 10 + \frac{3*0.3}{\sqrt{9}} = 10.3$