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Question: Find the highest control limit for a normally distributed curve with a mean of 20 and a standard deviation of 3.


A ) 23
B ) 29
C ) 11
D ) 26

Steps to derive

1 Mean μ = 20 and standard deviation σ = 3.

2 The control limits for 1 standard deviation are
μ - σ and μ + σ. That is 17 and 23.

3 The control limits for 2 standard deviations are
μ - 2σ and μ + 2σ. That is 14 and 26.

4 The control limits for 3 standard deviations are
μ - 3σ and μ + 3σ. That is 11 and 29.

5 So, the highest control limit is 29.



Hence the right answer is Option B

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