For two groups, with sample sizesn

1

n1andn

2

n2, the F procedure for one-way ANOVA assuming homoscedasticity is the same as the two-sample t procedure. Try to prove this yourself and then answer the questions below. Some hints are in Exercise 3.2, page 115 of the textbook by Tamhane. To understand this question, it might be useful to take two groups from the iron ore data set, and apply the one-way ANOVA and two-sample t procedures.

Part a)

Obtain the t-statistic and F-statistic. To obtain the F-statistic from the t-statistic, a key word for the relationship is________

(put in one suitable word, 6 letters).

Part b)

Obtain the t-statistic and F-statistic and the P-values of the two procedures (one-way ANOVA and two-sample t). A key word to describe the relationship of the two P-values is:_______

(put in one suitable word, 5 letters, which might be a synonym of the word you are thinking of).