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t Statistic Formula

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t Statistic is the value obtained from a t-test, used to determine if there is a significant difference between the means of two groups. Check FAQs

t = \frac{μ Observed - μ Theoretical}{\frac{s}{\sqrt{N}}}

t - t Statistic?μ_Observed - Observed Mean of Sample?μ_Theoretical - Theoretical Mean of Sample?s - Sample Standard Deviation?N - Sample Size?

t Statistic Example

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Here is how the t Statistic equation looks like with Values.

Here is how the t Statistic equation looks like with Units.

Here is how the t Statistic equation looks like.

4.638 = \frac{64 - 42}{\frac{15}{\sqrt{10}}}

4.638 = \frac{64 - 42}{\frac{15}{\sqrt{10}}}

4.638 = \frac{64 - 42}{\frac{15}{\sqrt{10}}}

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t Statistic Solution

Follow our step by step solution on how to calculate t Statistic?

FIRST Step Consider the formula

t = \frac{μ Observed - μ Theoretical}{\frac{s}{\sqrt{N}}}

Next Step Substitute values of Variables

∴

t = \frac{64 - 42}{\frac{15}{\sqrt{10}}}

Next Step Prepare to Evaluate

∴

t = \frac{64 - 42}{\frac{15}{\sqrt{10}}}

Next Step Evaluate

∴

t = 4.63800723491362

LAST Step Rounding Answer

∴

t = 4.638

t Statistic Formula Elements

Variables

Functions

t Statistic

t Statistic is the value obtained from a t-test, used to determine if there is a significant difference between the means of two groups.

Symbol: t

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find t Statistic

Observed Mean of Sample

Observed Mean of Sample is the average value of the data points in a specific sample.

Symbol: μ_Observed

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Observed Mean of Sample

Theoretical Mean of Sample

Theoretical Mean of Sample is the expected average value of a sample, often based on theoretical calculations or assumptions.

Symbol: μ_Theoretical

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Theoretical Mean of Sample

Sample Standard Deviation

Sample Standard Deviation is the measure of how much the values in a specific sample vary.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sample Standard Deviation

Sample Size

Sample Size is the total number of individuals or items included in a specific sample.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sample Size

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Basic Formulas in Statistics category

Go Number of Classes given Class Width

N Class = \frac{Max - Min}{w Class}

Go Class Width of Data

w Class = \frac{Max - Min}{N Class}

Go Number of Individual Values given Residual Standard Error

n = (\frac{RSS}{{RSE}^{2}}) + 1

Go P Value of Sample

P = \frac{P Sample - P 0(Population)}{\sqrt{\frac{P 0(Population) \cdot (1 - P 0(Population))}{N}}}

How to Evaluate t Statistic?

t Statistic evaluator uses t Statistic = (Observed Mean of Sample-Theoretical Mean of Sample)/(Sample Standard Deviation/sqrt(Sample Size)) to evaluate the t Statistic, t Statistic formula is defined as the value obtained from a t-test, used to determine if there is a significant difference between the means of two groups. t Statistic is denoted by t symbol.

How to evaluate t Statistic using this online evaluator? To use this online evaluator for t Statistic, enter Observed Mean of Sample (μ_Observed), Theoretical Mean of Sample (μ_Theoretical), Sample Standard Deviation (s) & Sample Size (N) and hit the calculate button.

FAQs on t Statistic

What is the formula to find t Statistic?

The formula of t Statistic is expressed as t Statistic = (Observed Mean of Sample-Theoretical Mean of Sample)/(Sample Standard Deviation/sqrt(Sample Size)). Here is an example- 10.54093 = (64-42)/(15/sqrt(10)).

How to calculate t Statistic?

With Observed Mean of Sample (μ_Observed), Theoretical Mean of Sample (μ_Theoretical), Sample Standard Deviation (s) & Sample Size (N) we can find t Statistic using the formula - t Statistic = (Observed Mean of Sample-Theoretical Mean of Sample)/(Sample Standard Deviation/sqrt(Sample Size)). This formula also uses Square Root (sqrt) function(s).

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t Statistic Formula

t Statistic Example

t Statistic Solution

t Statistic Formula Elements

Other formulas in Basic Formulas in Statistics category

How to Evaluate t Statistic?

FAQs on t Statistic

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