Standard Error of Mean {SE of x̄} for n = 1000 & σ = 6
Calculation summary & work with steps for n = 1000 & σ = 6 to estimate the standard error of sample mean. The below is the calculation summary for SE of x̄ for sample size n = 1000 using population standard deviation σ = 6.
| Calculation Summary | |
|---|---|
| Population standard deviation (σ) | 6 |
| Sample size (n) | 1000 |
| Standard Error of mean (x̄) | 0.1897 |
SE of x̄ Work with Steps for n = 1000 & σ = 6
The below is the work with step by step calculation shows how to estimate the standard deviation of sampling distribution of mean for sample size n = 1000 and population standard deviation σ = 6 to help grade school students to solve the similar SE of x̄ worksheet problems efficiently.
Workout :
step 1 Address the formula, input parameters and values
Input parameters
Population standard deviation σ= 6
Sampe size n= 1000
Formula
SEx̄ = σ√n
step 2 Apply the values in SE of mean formula
= 6√1000
= 6/31.6228
SEx̄ = 0.1897
0.1897 is the standard error of sample mean.
