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t Statistic of Normal Distribution Formula

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t Statistic of Normal Distribution is the t statistic calculated from a normal distribution. Check FAQs

t Normal = \frac{x̄ - μ}{\frac{s}{\sqrt{N}}}

t_Normal - t Statistic of Normal Distribution?x̄ - Sample Mean?μ - Population Mean?s - Sample Standard Deviation?N - Sample Size?

t Statistic of Normal Distribution Example

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

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

Here is how the t Statistic of Normal Distribution equation looks like.

4.2164 = \frac{48 - 28}{\frac{15}{\sqrt{10}}}

4.2164 = \frac{48 - 28}{\frac{15}{\sqrt{10}}}

4.2164 = \frac{48 - 28}{\frac{15}{\sqrt{10}}}

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t Statistic of Normal Distribution Solution

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

FIRST Step Consider the formula

t Normal = \frac{x̄ - μ}{\frac{s}{\sqrt{N}}}

Next Step Substitute values of Variables

∴

t Normal = \frac{48 - 28}{\frac{15}{\sqrt{10}}}

Next Step Prepare to Evaluate

∴

t Normal = \frac{48 - 28}{\frac{15}{\sqrt{10}}}

Next Step Evaluate

∴

t Normal = 4.21637021355784

LAST Step Rounding Answer

∴

t Normal = 4.2164

t Statistic of Normal Distribution Formula Elements

Variables

Functions

t Statistic of Normal Distribution

t Statistic of Normal Distribution is the t statistic calculated from a normal distribution.

Symbol: t_Normal

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find t Statistic of Normal Distribution

Sample Mean

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

Symbol: x̄

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sample Mean

Population Mean

Population Mean is the average value of all the values in a population.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Population Mean

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 of Normal Distribution?

t Statistic of Normal Distribution evaluator uses t Statistic of Normal Distribution = (Sample Mean-Population Mean)/(Sample Standard Deviation/sqrt(Sample Size)) to evaluate the t Statistic of Normal Distribution, t Statistic of Normal Distribution formula is defined as the the t statistic calculated from a normal distribution. t Statistic of Normal Distribution is denoted by t_Normal symbol.

How to evaluate t Statistic of Normal Distribution using this online evaluator? To use this online evaluator for t Statistic of Normal Distribution, enter Sample Mean (x̄), Population Mean (μ), Sample Standard Deviation (s) & Sample Size (N) and hit the calculate button.

FAQs on t Statistic of Normal Distribution

What is the formula to find t Statistic of Normal Distribution?

The formula of t Statistic of Normal Distribution is expressed as t Statistic of Normal Distribution = (Sample Mean-Population Mean)/(Sample Standard Deviation/sqrt(Sample Size)). Here is an example- 4.21637 = (48-28)/(15/sqrt(10)).

How to calculate t Statistic of Normal Distribution?

With Sample Mean (x̄), Population Mean (μ), Sample Standard Deviation (s) & Sample Size (N) we can find t Statistic of Normal Distribution using the formula - t Statistic of Normal Distribution = (Sample Mean-Population Mean)/(Sample Standard Deviation/sqrt(Sample Size)). This formula also uses Square Root Function function(s).

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t Statistic of Normal Distribution Formula

t Statistic of Normal Distribution Example

t Statistic of Normal Distribution Solution

t Statistic of Normal Distribution Formula Elements

Other formulas in Basic Formulas in Statistics category

How to Evaluate t Statistic of Normal Distribution?

FAQs on t Statistic of Normal Distribution

Variable Name