A population has parameters μ = 126.2 μ = 126.2 and σ = 42.9 σ = 42.9 . You intend to draw a random sample of size n = 226 n = 226 .

Question

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=σx¯= 

Answer 1

The mean of the distribution of sample means is the population mean 126.2

The standard deviation of the distribution of sample means is population standard deviation/square root(sample size) = 42.9/sqrt(226) = 2.85