A population has parameters μ=126.3μ=126.3 and σ=57.9σ=57.9. You
intend to draw a random sample of size n=221n=221.
What is the mean of the distribution of sample means?
μ¯x=μx¯=
What is the standard deviation of the distribution of sample
means?
(Report answer accurate to 2 decimal places.)
σ¯x=σx¯=
Solution :
Given that ,
mean = = 126.3
standard deviation = = 57.9
n = 221
sample distribution of sample mean is ,
=
= 126.3
sampling distribution of standard deviation
= / n = 57.9 / 221
= 3.89
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