Question

Determine μoverbar(x)and σoverbar(x) from the given parameters of the population and the sample size. Round the answer to the nearest thousandth where appropriate. μ = 25, σ = 12, n = 16

Answer 1

Answer:

μoverbar(x) = 25

σoverbar(x) = 3

Explanation:

Given That :

Population mean, μ = 25,

Population standard deviation, σ = 12,

Sample size, n = 16

The sampling distribution is approximately normal from the central. Limit theorem and hence, μoverbar(x) = μ = 25

σoverbar(x) is the standard error and is obtained thus :

σoverbar(x) = σ / sqrt(n)

σoverbar(x) = 12 / sqrt(16) = 12 /4 = 3