The College Student Journal (December 1992)investigated differences in traditional and nontraditional students,where nontraditional students are defined as 25 years old or older and working.Based on the study results,we can assume the population mean and standard deviation for the GPA of nontraditional students is µ = 3.5 and ? = 0.5.Suppose a random sample of 100 nontraditional students is selected and each student's GPA is calculated.Calculate $\sigma _ { \bar { x } }$
A)0.5
B)3.5
C)7.0
D)0.05

Question

Quizplus · Accepted Answer

The standard deviation of the sample mean ($\sigma _ { \bar { x } }$) is calculated using the formula $\sigma _ { \bar { x } } = \frac{\sigma}{\sqrt{n}}$, where $\sigma$ is the population standard deviation and $n$ is the sample size. Here, $\sigma = 0.5$ and $n = 100$, so $\sigma _ { \bar { x } } = \frac{0.5}{\sqrt{100}} = 0.05$.

The College Student Journal (December 1992)investigated Differences in Traditional and Nontraditional