Suppose x has a distributionwith u=72 and 0=8 if random samples of size n=16 are selected, can we say anything about the x distributin of sample means

if the originalx distribution is normal can we say anything about the x distribution of random samples of size 16 find p(68<x,< 73

1 answer

Z = (mean1 - mean2)/standard error (SE) of difference between means

SEdiff = √(SEmean1^2 + SEmean2^2)

SEm = SD/√(n-1)

If only one SD is provided, you can use just that to determine SEdiff.

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion between the Z scores.