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Statistics Homework Solutions 169

Statistics Homework Solutions 169 - 169 SECTION 7.1 2 z 0...

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SECTION 7.1 169 r n i 1 y i y z i z n i 1 y i y 2 n i 1 z i z 2 0 7513. The correlation coefficient between temperature and stirring rate is r n i 1 x i x y i y n i 1 x i x 2 n i 1 y i y 2 0 9064. (b) No, the result might be due to confounding, since the correlation between temperature and stirring rate is far from 0. (c) No, the result might be due to confounding, since the correlation between temperature and stirring rate is far from 0. 9. (a) x 105 63, y 38 84, n i 1 x i x 2 2 821, n i 1 y i y 2 47 144, n i 1 x i x y i y 5 902, n 10. r n i 1 x i x y i y n i 1 x i x 2 n i 1 y i y 2 0 51178. W 1 2 ln 1 r 1 r 0 56514, σ W 1 10 3 0 377964. A 95% confidence interval for μ W is W 1 96 σ W , or 1 30595 0 17567 . A 95% confidence interval for ρ is e 2 1 30595 1 e 2 1 30595 1 e 2 0 17567 1 e 2 0 17567 1 , or 0 8632 0 1739 . (b) The null and alternate hypotheses are H 0 : ρ 0 3 versus H 1 : ρ 0 3. r 0 51178, W 1 2 ln 1 r 1 r 0 56514, σ W 1 10 3 0 377964. Under H 0 , take ρ 0 3, so μ W 1 2 ln 1 0 3 1 0 3 0 30952. The null distribution of
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