Question

A population of values has a normal distribution with μ=159.6 and σ=75.4 You intend to draw...

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=

Homework Answers

Answer #1

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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