A population has parameters μ = 71.9 and σ = 11.3 .

Question

You intend to draw a random sample of size n = 49 . 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

The population mean will be the same as the sample mean (x-bar). In this case, μ = x-bar = 71.9.

The population standard deviation will be different from the sample standard deviation (s).

In this case, s = σ/√n = 11.3 / √49 = 11.3 / 7 = 1.61.