Section A- Chapter 12 _ QA - Section A Learning Team 9.11 a...

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Unformatted text preview: Section A: Learning Team 9 - Chapter 12 12.11 a b n=65 x-bar=18.1077 s=3.9612 Intervals Interva ls Observe d Frequenc y (f i ) n E i =np i (1)` < x-bar - 2s < 10.1853 1 z <-2 0.0228 65 1.5 < 10.1853 (2)` x-bar - 2s < x-bar - s 10.1853 < 14.1465 9-2 <= z < -1 0.1359 65 8.8 10.1853 < 14.1465 (3)` x-bar - s < x-bar 14.1465 < 18.1077 30-1 <= z < 0 0.3413 65 22.2 14.1465 < 18.1077 (4)` x-bar < x-bar + s 18.1077 < 22.0689 15 0 <= z < 1 0.3413 65 22.2 18.1077 < 22.0689 (5)` x-bar + s < x-bar + 2s 22.0689 < 26.0301 8 1 <= z < 2 0.1359 65 8.8 22.0689 < 26.0301 (6)` > x-bar + 2s > 26.0301 2 z > 2 0.0228 65 1.5 > 26.0301 65 10.8 c Average Expected Frequency = 10.8 hence we can use X 2 d H =the population has a normal distribution H a =the population does not have a normal distribution e Observed Frequency (f i ) X 2 = (f i-E i ) 2 /E i (f i-E i ) (f i-E i ) 2 E i X 2 = (f i-E i ) 2 /E i 1-0.5 0.232324 1.482 0.156764 9 0.2 0.027722 8.8335 0.003138 30 7.8 61.08204 22.1845 2.753366 15-7.2 51.61704 22.1845 2.32671651....
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Section A- Chapter 12 _ QA - Section A Learning Team 9.11 a...

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