You Do It

  1. 41.

    1. Source DF Sum of Squares Mean Square F p−value
      Regression 3 150 50.000 3.5 0.0212
      Residual 56 800 14.286
      Total 59 950
    2. The null hypothesis states no preference, H0: μ1 = μ2 = μ3 = μ4.

    3. Yes.

    4. A statistically significant difference occurs; however, without the means, we cannot tell which is preferred.

  2. 43.

    1. To compare 51C2 = 1275 pairs, α = 0.05/1275 ≈ .0000392. The appropriate t−percentile is t ≈ 4.13. The difference between two sample averages must be at least

      4.13×se2/20 $4.571
    2. No, not unless there is some suspicion that some state is out of line.

  3. 45.

    1. The scale on the x−axis. The x−axis in the plot of Y on D goes from 0 to 1, whereas it goes from − 1 to 1 in the plot of Y on X.

    2. Yes

    3. Sample means are the fitted ...

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