Question

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 =

Answer #1

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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