For Exercises 14.1 and 14.2, see pages 717–718; for 14.3 and 14.4, see page 720; for 14.5 and 14.6, see page 722; for 14.7, see page 724; for 14.8 and 14.9, see page 726; for 14.10 to 14.13, see pages 728–728; for 14.14 and 14.15, see page 731; for 14.16 to 14.19, see page 739; for 14.20 and 14.21, see page 740; for 14.22 and 14.23, see page 741; for 14.24 and 14.25, see page 742; for 14.26 and 14.27, see page 743; for 14.28 and 14.29, see page 744; and for 14.30 and 14.31, see page 748.

Question 14.2

14.2 What’s wrong?

For each of the following, explain what is wrong and why.

  1. In rejecting the null hypothesis, we conclude that all the means are different from one another.
  2. The ANOVA statistic will be large when the within-group variation is much larger than the between-group variation.
  3. A two-way ANOVA is used when comparing two populations.
  4. A strong case for causation is best made by an observational study.