hw5fall11sol

# hw5fall11sol - STAT5044 Regression and ANOVA Homework#5...

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Unformatted text preview: STAT5044: Regression and ANOVA Homework #5 Problem# 1. Redo the number of boys example (note 16) by combining the first two cells { 0,1 } and the last two cells { 7,8 } to make the expected cell frequencies at least 5. Report the p-value and comare the results # of boys(x) 0 or 1 2 3 4 5 6 7 or 8 Pr ( X = x ) 0.0330 0.1050 0.2143 0.2733 0.2231 0.1138 0.0374 Actual # 44 111 215 239 227 115 49 Expected # 33.02 105.04 214.33 273.32 223.07 113.79 37.39 χ 2 obs = (44- 33) 2 33 + (111- 105) 2 105 + ··· + (49- 37) 2 37 = 11 . 98 The df is 7- 1- 1 = 5. Since Pr ( χ 2 > 11 . 98) < Pr ( χ 2 > 11 . 07) = 0 . 05, there is strong evidence against the boys in families with eight children being binomially distributed. Problem# 2. In 1987, the Minnesota Twins (one of the teams in the 1987 World Series) played 162 games. Of the 81 home games, they won 52 and, of the 81 away games they won 33. Calculate the appropriate test statistic to assess if winning is independent of location....
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hw5fall11sol - STAT5044 Regression and ANOVA Homework#5...

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