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Grade 31 Statistics and Probability
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z-test-for-a-mean/86448/>The Normal Distribution -
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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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