Answer to Question #176062 in Statistics and Probability for ranz

Question

1. A random sample of n = 60 measurements is obtained from a population with μ= 192 and σ = 43. Describe the sampling distribution for the sample means by computing the μx and  σx.

Answer 1

Solution:

Given, $n=60, \mu=192,\sigma=43$

Mean of 60 sample means, $\mu_{x}=\mu=192$

Standard deviation of 60 sample means, $\sigma_x=\dfrac{\sigma}{\sqrt n}=\dfrac{43}{\sqrt {60}}\approx5.551$

Thus, sampling distribution has $\mu_{x}=192,\sigma_x=5.551$