A sample of 30-year fixed mortgage rates at 12 randomly chosen credit unions yields a mean rate of 6.65% and a sample standard deviation of 0.39%. A sample of 30-year fixed mortgage rates at 16 randomly selected banks yields a mean rate of 7.05% and a sample standard deviation of 0.22%. Are the mean rates different between credit unions and banks? Relevant output is shown in the accompanying table. Which of the following is true? Two-Sample t-Test and CI Sample N Mean StDev SE Mean 12 6. 650 0. 390 0.11 16 7.050 0.220 0. 055 Difference = mu (1) - mu (2) Estimate for difference: - 0. 400 954 CI for difference: ( - 0. 665, - 0.135) I-Test of difference =0 (vs not= ) : T-Value= -2.69 P-Value =0.013 DF= 23.85 1. This is a paired design. II. This is a test of two means from independent samples. Ill. This is a one tailed test. O I only Both II and III Il only O Ill only