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A population of values has a normal distribution with μ=104.4μ=104.4 and σ=5.3σ=5.3. You intend to draw...

A population of values has a normal distribution with μ=104.4μ=104.4 and σ=5.3σ=5.3. You intend to draw a random sample of size n=16n=16.

What is the mean of the distribution of sample means?
μx¯=

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=

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Solution :

Given that,

mean = \mu = 104

standard deviation = \sigma = 5.3

n = 16

\mu\bar x = 104

\sigma\bar x = \sigma / \sqrt n

= 5.3 \sqrt 16

=1.325

\sigma\bar x= 1.32

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