Suppose a random variable x is normally distributed with 24

Suppose a random variable x is normally distributed with =24 and =4.9. According to the Central Limit Theorem, for samples of size 8:
a) The mean of the sampling distribution for x¯ is
b)The standard deviation of the sampling distribution for x¯ is

Solution

a) The mean of the sampling distribution for x¯ is

The same as the population mean = 24 [ANSWER]

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b)The standard deviation of the sampling distribution for x¯ is

s(X) = s/sqrt(n)

= 4.9/sqrt(8)

= 1.732411614 [ANSWER]