Standard Error

Population SD (σ) :

Population Dateset

Population SD (σ) :

Sample size (n1) :

Population Dateset 1

Sample size (n1) :

Standard Error :

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# 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

SD1 - 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.