09_02ans - STAT 420 Examples for Fall 2010 1 Six samples of...

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STAT 420 Examples for 09/02/2010 Fall 2010 1. Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data ( μ g/g): Wheat 5.2 4.5 6.0 6.1 6.7 5.7 Barley 6.5 8.0 6.1 7.5 5.9 5.6 Maize 5.8 4.7 6.4 4.9 6.0 5.2 Oats 8.3 6.1 7.8 7.0 5.6 7.2 n i i x s i s i 2 Wheat 6 5.7 0.7668 0.588 Barley 6 6.6 0.9508 0.904 Maize 6 5.5 0.6693 0.448 Oats 6 7.0 1.0139 1.028 Source SS DF MS F Between 9.24 3 3.08 4.151 Within 14.84 20 0.742 Total 24.08 23 F 0.05 ( 3, 20 ) = 3.10 t 0.025 ( 20 ) = 2.086 . A 100 × ( 1 – γ )-percent confidence interval the difference μ i μ j , i j , is given by ( ) j i J N j i n n s t pooled 1 1 d.f. Y Y 2 γ + - ± - where pooled s = MSW . a) Construct a 95% confidence interval for the difference between the average thiamin content for Oats and Maize. ( 7.0 – 5.5 ) ± 2.086 6 1 6 1 742 . 0 + 1.5 ± 1.0374
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Tukey’s pairwise comparison : With 100 × ( 1 – γ )-percent confidence
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09_02ans - STAT 420 Examples for Fall 2010 1 Six samples of...

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