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When a process is in control, it results in there being, on average, 16 defects per...

When a process is in control, it results in there being, on average, 16 defects per unit of output. c-chart limits of 4 and 28 would lead to a _______ percent chance of a Type I error.

Multiple Choice

  • 95.44

  • 31.74

  • 0.26

  • 68.26

  • 4.56

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Answer #1

c̅ = 16

So, σ = √c̅ = 4

UCL = 28 and LCL = 4

Prob{Actual output < LCL} = NORMDIST(LCL, c̅, σ, 1) = NORMDIST(4,16,4,1) = 0.0013

The above probbility will represent half of the total Type-I error i.e. α/2

So,

α = 0.0013*2 = 0.0026 i.e. 0.26%

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