Question

A population of values has a normal distribution with μ = 121.7 μ = 121.7 and σ = 51.2 σ = 51.2 . You intend to draw a random sample of size n = 195 n = 195 . What is the mean of the distribution of sample means? μ ¯ x = μ x ¯ = What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ ¯ x = σ x ¯ =

Answer #1

Solution :

Given that ,

mean = = 121.7

standard deviation = = 51.2

n = 195

sample distribution of sample mean is ,

_{}
=

_{}
= 121.7

sampling distribution of standard deviation

_{}
= /
n = 51.2 /
195

_{}
= 3.67

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