Standard Error
HISTORY
Standard Error of Two Sample Means Difference for n1 = 100 & n2 = 150
Calculation summary & work with steps for sample size n1 = 100, n2 = 150, population standard deviation σ1 = 3 & σ2 = 3.5 to estimate the standard error of difference between two sample means. The below is the calculation summary for SE of (x̄1 - x̄2) for sample size n1 = 100 & n2 = 150 using standard deviation σ1 = 3 & σ2 = 3.5.
| Calculation Summary | |
|---|---|
| Population standard deviation (σ1) | 3 |
| Population standard deviation (σ2) | 3.5 |
| Sample size (n1) | 100 |
| Sample size (n2) | 150 |
| SE of (x̄1 - x̄2) | 0.4144 |
SE of (x̄1 - x̄2) Work with Steps for n1 = 100 & n2 = 150
The below is the example work with step by step calculation shows how to estimate the standard error of difference between two sample means for sample size n1 = 100 & n2 = 150 and the population standard deviation σ1 = 3 & σ2 = 3.5 to help grade school students to solve the similar SE of (x̄1 - x̄2) worksheet problems efficiently.
Workout :
step 1 Address the formula, input parameters and values
Input parameters & values
Population standard deviation σ1 = 3
Population standard deviation σ2 = 3.5
Sample size n1 = 100
Sample size n2 = 150
Formula
SDx̄1 - x̄2 = √
step 2 Apply the values in above formula
= √
= √
= √0.09 + 0.0817
= √0.1717
= 0.4144
0.4144 is the standard error for σ1 = 3, σ2 = 3.5, n1 = 100 & n2 = 150.
step 1 Address the formula, input parameters and values
Input parameters & values
Population standard deviation σ1 = 3
Population standard deviation σ2 = 3.5
Sample size n1 = 100
Sample size n2 = 150
Formula
SDx̄1 - x̄2 = √
σ1²/n1+σ2²/n2
step 2 Apply the values in above formula
= √
(3)²/100+(3.5)²/150
= √
9/100+12.25/150
= √0.09 + 0.0817
= √0.1717
= 0.4144
0.4144 is the standard error for σ1 = 3, σ2 = 3.5, n1 = 100 & n2 = 150.
