A 90% confidence interval for the difference between the means of two independent populations with unknown population standard deviations is found to be (-0.2, 5.4).

Which of the following statements is/are correct? CHECK ALL THAT APPLY.

A. A two-sided two-sample $t$-test testing for a difference between the two population means is not rejected at the 10% significance level.
B. The standard error of the difference between the two observed sample means is 2.6.
C. A two-sided paired $t$-test testing for a difference between the two population means is not rejected at the 10% significance level.
D. A two-sided two-sample $t$-test testing for a difference between the two population means is rejected at the 10% significance level.
E. A two-sided paired $t$-test testing for a difference between the two population means is rejected at the 10% significance level.
F. None of the above.