Which of the Following Statements Are Not Correct Assumptions for Developing

Multiple Choice

Which of the following statements are not correct assumptions for developing pooled confidence intervals and for testing hypotheses about the difference between two population means $\left( \mu _ { 1 } - \mu _ { 2 } \right) ?$

A) Both populations are normally distributed
B) The samples selected from the two populations are independent random samples.
C) At least one of the two sample sizes is small.
D) The two population variances are equal $\left( σ _ { 1 } ^ { 2 } = σ _ { 2 } ^ { 2 } \right)$
E) The two population variances are not equal $\left(σ _ { 1 } ^ { 2 } \neq σ _ { 2 } ^ { 2 } \right)$