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✖Observed Mean of Sample is the average value of the data points in a specific sample.ⓘ Observed Mean of Sample [μ_Observed]			+10% -10%
✖Theoretical Mean of Sample is the expected average value of a sample, often based on theoretical calculations or assumptions.ⓘ Theoretical Mean of Sample [μ_Theoretical]			+10% -10%
✖Sample Standard Deviation is the measure of how much the values in a specific sample vary.ⓘ Sample Standard Deviation [s]			+10% -10%
✖Sample Size is the total number of individuals or items included in a specific sample.ⓘ Sample Size [N]			+10% -10%

✖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.ⓘ t Statistic [t]

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t Statistic Solution

STEP 0: Pre-Calculation Summary

Formula Used

t Statistic = (Observed Mean of Sample-Theoretical Mean of Sample)/(Sample Standard Deviation/sqrt(Sample Size))
t = (μ_Observed-μ_Theoretical)/(s/sqrt(N))
This formula uses 1 Functions, 5 Variables

Functions Used

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., sqrt(Number)

Variables Used

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.
Observed Mean of Sample - Observed Mean of Sample is the average value of the data points in a specific sample.
Theoretical Mean of Sample - Theoretical Mean of Sample is the expected average value of a sample, often based on theoretical calculations or assumptions.
Sample Standard Deviation - Sample Standard Deviation is the measure of how much the values in a specific sample vary.
Sample Size - Sample Size is the total number of individuals or items included in a specific sample.

STEP 1: Convert Input(s) to Base Unit

Observed Mean of Sample: 64 --> No Conversion Required
Theoretical Mean of Sample: 42 --> No Conversion Required
Sample Standard Deviation: 15 --> No Conversion Required
Sample Size: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (μ_Observed-μ_Theoretical)/(s/sqrt(N)) --> (64-42)/(15/sqrt(10))

Evaluating ... ...

t = 4.63800723491362

STEP 3: Convert Result to Output's Unit

4.63800723491362 --> No Conversion Required

FINAL ANSWER

4.63800723491362 ≈ 4.638007 <-- t Statistic

(Calculation completed in 00.004 seconds)

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t Statistic Formula

LaTeX Go

t Statistic = (Observed Mean of Sample-Theoretical Mean of Sample)/(Sample Standard Deviation/sqrt(Sample Size))
t = (μ_Observed-μ_Theoretical)/(s/sqrt(N))

What is the t test in Statistics?

A t test is a statistical test that is used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually has an effect on the population of interest, or whether two groups are different from one another. There are three t tests to compare means: a one-sample t test, a two-sample t test and a paired t test.

How to Calculate t Statistic?

t Statistic calculator uses t Statistic = (Observed Mean of Sample-Theoretical Mean of Sample)/(Sample Standard Deviation/sqrt(Sample Size)) to calculate 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 calculate t Statistic using this online calculator? To use this online calculator 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. Here is how the t Statistic calculation can be explained with given input values -> 10.54093 = (64-42)/(15/sqrt(10)).

FAQ

What is 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 and is represented as t = (μ_Observed-μ_Theoretical)/(s/sqrt(N)) or t Statistic = (Observed Mean of Sample-Theoretical Mean of Sample)/(Sample Standard Deviation/sqrt(Sample Size)). Observed Mean of Sample is the average value of the data points in a specific sample, Theoretical Mean of Sample is the expected average value of a sample, often based on theoretical calculations or assumptions, Sample Standard Deviation is the measure of how much the values in a specific sample vary & Sample Size is the total number of individuals or items included in a specific sample.

How to calculate 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 is calculated using t Statistic = (Observed Mean of Sample-Theoretical Mean of Sample)/(Sample Standard Deviation/sqrt(Sample Size)). To calculate t Statistic, you need Observed Mean of Sample (μ_Observed), Theoretical Mean of Sample (μ_Theoretical), Sample Standard Deviation (s) & Sample Size (N). With our tool, you need to enter the respective value for Observed Mean of Sample, Theoretical Mean of Sample, Sample Standard Deviation & Sample Size 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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