Question

A sample of n = 36 from a population of μ = 50 and σ = 18 has a mean M = 47. What is the standard error (σₘ) for the sample means?

a) 2
b) 3
c) 4
d) 5

Answer 1

The standard error (σₘ) for sample means can be calculated using the formula σₘ = σ/√n, where σ is the population standard deviation and n is the sample size. In this scenario, the population standard deviation (σ) is given as 18, and the sample size (n) is given as 36. Therefore, the standard error (σₘ) for the sample means is calculated as 3.

Step-by-step explanation:

The standard error (σₘ) for sample means can be calculated using the formula σₘ = σ/√n, where σ is the population standard deviation and n is the sample size. In this scenario, the population standard deviation (σ) is given as 18, and the sample size (n) is given as 36. Therefore, the standard error (σₘ) for the sample means is calculated as follows:

σₘ = 18 / √36 = 18 / 6 = 3

So, the standard error for the sample means is 3.