You want to build a 90% confidence interval estimate of a population mean.You take a sample of size 100 and find a sample mean of 1300.If the population standard deviation is 25, calculate the standard error of the sampling distribution of the sample mean.
A)1.75
B)2.60
C)1.90
D)2.85
E)2.50

Question

Quizplus · Accepted Answer

The standard error of the sampling distribution of the sample mean 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. Substituting the given values ($\sigma = 25$, $n = 100$), we get $\sigma_{\bar{x}} = \frac{25}{\sqrt{100}} = \frac{25}{10} = 2.5$.

You Want to Build a 90% Confidence Interval Estimate of a Population