Question

# A population has parameters μ=126.3μ=126.3 and σ=57.9σ=57.9. You intend to draw a random sample of size...

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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