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In a population, the mean is known to be 80.2 and the standard deviation is known to be 20.32. Suppose a random sample of size

In a population, the mean is known to be 80.2 and the standard deviation is known to be 20.32.

Suppose a random sample of size 64 is taken from this population. What can be said about the distribution of the sample mean?

Select one:

It is approximately normal, with mean 80.2 and standard deviation 2.54.

It is approximately normal, but with unknown mean and unknown standard deviation.

It is approximately normal with mean 80.2, but the standard deviation is not known.

It is approximately normal, with mean 80.2 and standard deviation 20.32.

It is approximately normal, with mean 80.2 and standard deviation 0.32

It is approximately normal, with mean 80.2 and standard deviation 7.18.

There is not enough information to say anything about this distribution.

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