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 14.5

14.5 Magazine layouts.

Example 14.1 (page 712) describes a study designed to compare sales based on different magazine layouts, and in Exercise 14.3 (page 720), you described the ANOVA model for this study. The three layouts are designated 1, 2, and 3. The following table summarizes the sales data.

Layout
1 75 55 20
2 125 63 20
3 100 58 20
  1. Is it reasonable to pool the standard deviations for these data? Explain your answer.
  2. For each parameter in your model from Exercise 14.3, give the estimate.

14.5

(a) Yes, the largest is less than twice the smallest , . (b) The estimates for , and are 75, 125, and 100. The estimate for is 58.7594.