In the article “Cigarette smoking and age at natural menopause of women in Poland” published in The Internet Journal of Biological Anthropology (Pawlinska-

Chmara and Anita Szwed, 2008), the authors reported the results of a retrospective study on smoking and age of menopause for 1948 women. The summary statistics given in Table 12.29 were reported in this article and the ANOV table given in Table 12.30 was reconstructed from the information in Table 12.29. Use Tables 12.29 and 12.30 to answer the following:

(a) On the basis of the information in Table 12.29, is it reasonable to assume the treatment groups have a common variance? Explain.

(b) Test the hypothesis of the equality of the treatment means at the ???? = 0.05 level.

(c) How many pairwise comparisons would be needed to separate the five treatment means?

(d) Determine the Bonferroni distance ???? for comparing the means for women smoking up to five cigarettes a day and women smoking 5–10 cigarettes per day when the experimentwise error rate is ????E = 0.05. Are these two means significantly different?

(e) Compute a 95% confidence interval for the difference between the means for women smoking up to five cigarettes a day and women smoking 5–10 cigarettes per day.