The length of students' college careers at Anytown University is known to be Normally distributed, with a mean length of 5.5 years and a standard deviation of 1.75 years. If a sample of size 20 is repeatedly chosen at random, what is the standard deviation $\sigma$_x of sample means?

Question

Quizplus · Accepted Answer

The standard deviation of the sample means, often denoted as σx̄, is calculated by dividing the population standard deviation (σ) by the square root of the sample size (n). Here, σ = 1.75 years and n = 20. Thus, σx̄ = 1.75 / sqrt(20) ≈ 0.39 years.

The Length of Students' College Careers at Anytown University Is σ\sigmaσ

The Length of Students' College Careers at Anytown University Is $\sigma$