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 14.12
14.12 The effect of within-group variation.
Go to the One-Way ANOVA applet. In the applet display, the black dots are the mean responses in three treatment groups. Move these up and down until you get a configuration with -value about 0.01. Note the value of the statistic. Now increase the variation within the groups without changing their means by dragging the mark on the standard deviation scale to the right. Describe what happens to the statistic and the -value. Explain why this happens.