A population has parameters μ = 208.3 and σ = 92.5 . You intend to draw a random sample of size n = 116 .
What is the mean of the distribution of sample means? μ ¯ x =
What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ ¯ x =
Solution:
Given that ,
= 208.3
= 92.5
A sample of size n = 116 is taken from this population.
Let be the mean of sample.
The sampling distribution of the is approximately normal with
Mean = = 208.3
SD = = 92.5/116 = 8.59
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