Suppose a random variable x is normally distributed with mu

Suppose a random variable x is normally distributed with \\mu = 24.5 and \\sigma = 5.9. According to the Central Limit Theorem, for samples of size 7:

(a) The mean of the sampling distribution for \\bar x is:

(b) The standard deviation of the sampling distribution for \\bar x is:

Solution

a)
Mean ( u ) =24.5
b)

Standard Deviation ( sd )=5.9/ Sqrt ( 7 ) = 2.23