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For the population of one town, the number of siblings, x, is a random variable whose relative frequency histogram has a reverse J-shape. The mean

For the population of one town, the number of siblings, x, is a random variable whose relative frequency histogram has a reverse

J-shape.

The mean number of siblings is

1.2

and the standard deviation is

1.4.

Let

x

denote the mean number of siblings for a random sample of size

34.

Determine whether the distribution of

x

is normal or approximately normal and find its mean and standard deviation.

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