A population of values has a normal distribution with μ=159.6
and σ=75.4 You intend to draw a random sample of size n=125
What is the mean of the distribution of sample means?
μ¯x=
What is the standard deviation of the distribution of sample means
(i.e. the standard error)?
(Report answer accurate to 2 decimal places.)
σ¯x=
Solution :
Given that ,
mean = = 159.6
standard deviation = = 75.4
n = 125
sample distribution of sample mean is ,
=
= 159.6
sampling distribution of standard deviation
= / n = 75.4 / 125=6.74
=6.74
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