The overall average on a process you are attempting to monitor is 50.0 units. Th

Question

The overall average on a process you are attempting to monitor is 50.0 units. The process population standard deviation is 1.72. Sample size is given to be 16. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCunits (round your response to two decimal places) Lower Control Limit (LCLunits (round your response to two decimal places). b) Now determine the 2-sigma x Upper Control Limit (UC )-units (round your response to two decimal places) Lower Control Limit (LCL^)-units (round your response to two decimal places) How do the control limits change? 0 A. The control limits are tighter for the 2-sigma x-chart than for the 3-sigma x-chart. O B. The control limits are tighter for the 3-sigma x chart than for the 2 sigma x chart. O C. The control limits for the 2-sigma x-chart and for the 3-sigma x-chart are the same.

Explanation / Answer

a) UCL = mean + k*s/sqrt(n)

LCL = mean - k*s/sqrt(n)

here mean = 50 , k = 3 , s = 1.72 , n = 16

using the formula given above

we get

UCL = 51.29

LCL = 48.71

b) here k= 2

UCL = 50.86

LCL = 49.14

c) control limit for 2- sigma is tighter

option A) is correct

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