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# Will the Sampling Distribution Be Nearly Normal?

APSTAT-4GJTBH

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.