17. Equivalent Tests In this exercise you will verify that when you have two sets of sample data, the pooled t test for independent samples and the ANOVA method of this section are equivalent. Refer to the weights of the poplar trees in Table 12-1, but use only the data for the trees given no treatment and those given fertilizer only.

a. Use a 0.05 significance level and the method of Section 9-3 to test the claim that the two samples come from populations with the same mean. (Assume that both populations have the same variance.)

b. Use a 0.05 significance level and the ANOVA method of this section to test the claim made in part (a).

c. Verify that the squares of the t test statistic and critical value from part

(a) are equal to the F test statistic and critical value from part (b).