Standard error of difference of sample mean Calculator

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✖The Standard Deviation is a measure of how spread out numbers are.ⓘ Standard Deviation [σ]			+10% -10%
✖Sample Size 1 is the size of the 1st Sample Population.ⓘ Sample Size 1 [n1]			+10% -10%
✖Standard deviation 2 is the standard deviation of sample 2.ⓘ Standard deviation 2 [SD2]			+10% -10%
✖Sample size 2 is the size of the sample population 2.ⓘ Sample size 2 [n2]			+10% -10%

✖Standard Error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation.ⓘ Standard error of difference of sample mean [Error_Standard]

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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))
Error_Standard = 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

Error_Standard = sqrt(((σ^2)/n1)+((SD2^2)/n2)) --> sqrt(((1.33^2)/100)+((10^2)/150))

Evaluating ... ...

Error_Standard = 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)

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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))
Error_Standard = 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 Error_Standard 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 Error_Standard = 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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