Standard error of difference of sample mean Solution

STEP 0: Pre-Calculation Summary
Formula Used
Standard Error = sqrt(((Standard Deviation^2)/Sample Size 1)+((Standard deviation 2^2)/Sample size 2))
ErrorStandard = sqrt(((σ^2)/n1)+((SD2^2)/n2))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Standard Error - Standard Error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation.
Standard Deviation - The Standard Deviation is a measure of how spread out numbers are.
Sample Size 1 - Sample Size 1 is the size of the 1st Sample Population.
Standard deviation 2 - Standard deviation 2 is the standard deviation of sample 2.
Sample size 2 - Sample size 2 is the size of the sample population 2.
STEP 1: Convert Input(s) to Base Unit
Standard Deviation: 1.33 --> No Conversion Required
Sample Size 1: 100 --> No Conversion Required
Standard deviation 2: 10 --> No Conversion Required
Sample size 2: 150 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ErrorStandard = sqrt(((σ^2)/n1)+((SD2^2)/n2)) --> sqrt(((1.33^2)/100)+((10^2)/150))
Evaluating ... ...
ErrorStandard = 0.827257920280408
STEP 3: Convert Result to Output's Unit
0.827257920280408 --> No Conversion Required
FINAL ANSWER
0.827257920280408 <-- Standard Error
(Calculation completed in 00.000 seconds)

Credits

Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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7 Errors Calculators

Standard error of difference of sample mean
Standard Error = sqrt(((Standard Deviation^2)/Sample Size 1)+((Standard deviation 2^2)/Sample size 2)) Go
Standard error of proportion
Standard error of proportion = sqrt((Sample proportion*(Sample proportion-1)/Number of Observations in data)) Go
Residual Standard Error
Residual standard error = sqrt(Residual sum of squares/(Number of Observations in data-2)) Go
Residual Standard Error using P Value
Residual standard error = F statistic*Residual sum of squares/Total sum of squares Go
Standard error
Residual standard error = Standard Deviation/sqrt(Number of Samples) Go
Margin of error
Margin of error = Critical Value*Standard deviation of static Go
Margin of error given standard error
Margin of error = Critical Value*Standard error of static Go

Standard error of difference of sample mean Formula

Standard Error = sqrt(((Standard Deviation^2)/Sample Size 1)+((Standard deviation 2^2)/Sample size 2))
ErrorStandard = sqrt(((σ^2)/n1)+((SD2^2)/n2))

What is statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied.

How to Calculate Standard error of difference of sample mean?

Standard error of difference of sample mean calculator uses Standard Error = sqrt(((Standard Deviation^2)/Sample Size 1)+((Standard deviation 2^2)/Sample size 2)) to calculate the Standard Error, The Standard error of difference of sample mean formula is defined as statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation. In statistics, a sample mean deviates from the actual mean of a population; this deviation is the standard error of the mean. Standard Error is denoted by ErrorStandard symbol.

How to calculate Standard error of difference of sample mean using this online calculator? To use this online calculator for Standard error of difference of sample mean, enter Standard Deviation (σ), Sample Size 1 (n1), Standard deviation 2 (SD2) & Sample size 2 (n2) and hit the calculate button. Here is how the Standard error of difference of sample mean calculation can be explained with given input values -> 0.827258 = sqrt(((1.33^2)/100)+((10^2)/150)).

FAQ

What is Standard error of difference of sample mean?
The Standard error of difference of sample mean formula is defined as statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation. In statistics, a sample mean deviates from the actual mean of a population; this deviation is the standard error of the mean and is represented as ErrorStandard = sqrt(((σ^2)/n1)+((SD2^2)/n2)) or Standard Error = sqrt(((Standard Deviation^2)/Sample Size 1)+((Standard deviation 2^2)/Sample size 2)). The Standard Deviation is a measure of how spread out numbers are, Sample Size 1 is the size of the 1st Sample Population, Standard deviation 2 is the standard deviation of sample 2 & Sample size 2 is the size of the sample population 2.
How to calculate Standard error of difference of sample mean?
The Standard error of difference of sample mean formula is defined as statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation. In statistics, a sample mean deviates from the actual mean of a population; this deviation is the standard error of the mean is calculated using Standard Error = sqrt(((Standard Deviation^2)/Sample Size 1)+((Standard deviation 2^2)/Sample size 2)). To calculate Standard error of difference of sample mean, you need Standard Deviation (σ), Sample Size 1 (n1), Standard deviation 2 (SD2) & Sample size 2 (n2). With our tool, you need to enter the respective value for Standard Deviation, Sample Size 1, Standard deviation 2 & Sample size 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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