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In which of the following situations is it NOT safe to assume that the sampling distribution of ${ \overline { x } }_{ A }-{ \overline { x } }_{ B }$ will be nearly normal?

A

Samples of $45$ will be randomly chosen from a skewed right Population A.

Samples of $15$ will be randomly chosen from a nearly normal Population B.

B

Samples of $12$ will be randomly chosen from a skewed left Population A.

Samples of $15$ will be randomly chosen from a nearly normal Population B.

C

Samples of $45$ will be randomly chosen from a skewed right Population A.

Samples of $55$ will be randomly chosen from a bimodal Population B.

D

Samples of $17$ will be randomly chosen from a nearly normal Population A.

Samples of $15$ will be randomly chosen from a nearly normal Population B.

E

Samples of $82$ will be randomly chosen from a skewed left Population A.

Samples of $67$ will be randomly chosen from a skewed right Population B.

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