Population is birth weight (in grams) for all babies born in Indiana in 2004. It has μ=3,287; σ^2=360,000.
If we sample 100 babies, what are μ_X ̅ and σ_X ̅ ?
Solution :
Given that ,
mean = = 3287
standard deviation = = 360000=600
n = 100
sample distribution of sample mean is ,
=
= 3287
sampling distribution of standard deviation
= / n = 600 / 100=60
= 60
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