Question: Select the correct statement. A.) The mean of sample means is normally distributed only if the population mean is normally distributed. B.) The mean of

Select the correct statement.

A.) The mean of sample means is normally distributed only if the population mean is normally distributed.

B.) The mean of sample means are always normally distributed, even if we have only a few samples.

C.) The mean of the means obtained from many repeated sampling is equal to the population mean (provided that samples are large enough).

D.) Even if the population is normally distributed, the sample means obtained from many repeated sampling is likely to be skewed (provided that the samples are large enough).

E.) As long as samples are large enough, their means are always exactly equal to the population mean.

F.) By construction, the mean of a few sample means is always equal to the mean of the population. That is just how arithmetic mean works.

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