Question

A population has parameters of mean=15.2 and standard deviation=78.5. You intend to draw a random sample size=239.

What is the mean of the distribution of sample means?

What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.)

Answer 1

Solution :

Given that,

mean = = 15.2

standard deviation = = 78.5

n = 239

So,

= 15.2

The mean of the distribution of sample means = 15.2

₌ / n

= 78.5 239

= 5.077

The standard deviation of the distribution of sample means = 5.08