Standardized Test Statistic Calculator

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✖Statistic is a numerical value calculated from sample data. Statistics are used to estimate parameters and describe characteristics of the sample.ⓘ Statistic [S]			+10% -10%
✖Parameter is a numerical characteristic of a population. Parameters are fixed values often used to describe population characteristics in statistics.ⓘ Parameter [P]			+10% -10%
✖Standard Deviation of Statistic is the measure of the variability of a statistic (like the sample mean) calculated from different samples of the same size and drawn from the same population.ⓘ Standard Deviation of Statistic [σ]			+10% -10%

✖Standardized Test Statistic is the value obtained by subtracting the population parameter from the sample statistic and dividing the result by the standard error.ⓘ Standardized Test Statistic [t_Standardized]

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Standardized Test Statistic Solution

STEP 0: Pre-Calculation Summary

Formula Used

Standardized Test Statistic = (Statistic-Parameter)/(Standard Deviation of Statistic)
t_Standardized = (S-P)/(σ)
This formula uses 4 Variables

Variables Used

Standardized Test Statistic - Standardized Test Statistic is the value obtained by subtracting the population parameter from the sample statistic and dividing the result by the standard error.
Statistic - Statistic is a numerical value calculated from sample data. Statistics are used to estimate parameters and describe characteristics of the sample.
Parameter - Parameter is a numerical characteristic of a population. Parameters are fixed values often used to describe population characteristics in statistics.
Standard Deviation of Statistic - Standard Deviation of Statistic is the measure of the variability of a statistic (like the sample mean) calculated from different samples of the same size and drawn from the same population.

STEP 1: Convert Input(s) to Base Unit

Statistic: 160 --> No Conversion Required
Parameter: 40 --> No Conversion Required
Standard Deviation of Statistic: 50 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_Standardized = (S-P)/(σ) --> (160-40)/(50)

Evaluating ... ...

t_Standardized = 2.4

STEP 3: Convert Result to Output's Unit

2.4 --> No Conversion Required

FINAL ANSWER

2.4 <-- Standardized Test Statistic

(Calculation completed in 00.004 seconds)

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< Hypothesis Testing Calculators

Standardized Test Statistic

LaTeX Go Standardized Test Statistic = (Statistic-Parameter)/(Standard Deviation of Statistic)

One Sample t Statistic for Mean

LaTeX Go t Statistic = (Sample Mean-Population Mean)/Standard Error

Standardized Test Statistic Formula

LaTeX Go

Standardized Test Statistic = (Statistic-Parameter)/(Standard Deviation of Statistic)
t_Standardized = (S-P)/(σ)

What is Hypothesis Testing in Statistics?

Hypothesis Testing is a statistical method used to determine whether there is evidence in a sample of data to suggest that a certain condition or relationship exists in a larger population. The process involves specifying a null hypothesis, which represents the default assumption or status quo, and an alternative hypothesis, which represents the claim or condition that is being tested.
Then a test statistic is calculated based on the sample data, and a p-value is determined, which represents the probability of obtaining the observed test statistic (or a more extreme value) under the assumption that the null hypothesis is true. If the p-value is less than a pre-determined significance level (usually 0.05), the null hypothesis is rejected in favor of the alternative hypothesis, indicating that there is significant evidence to suggest that the condition or relationship exists in the larger population.

How to Calculate Standardized Test Statistic?

Standardized Test Statistic calculator uses Standardized Test Statistic = (Statistic-Parameter)/(Standard Deviation of Statistic) to calculate the Standardized Test Statistic, Standardized Test Statistic formula is defined as the value obtained by subtracting the population parameter from the sample statistic and dividing the result by the standard error. Standardized Test Statistic is denoted by t_Standardized symbol.

How to calculate Standardized Test Statistic using this online calculator? To use this online calculator for Standardized Test Statistic, enter Statistic (S), Parameter (P) & Standard Deviation of Statistic (σ) and hit the calculate button. Here is how the Standardized Test Statistic calculation can be explained with given input values -> 1.2 = (160-40)/(50).

FAQ

What is Standardized Test Statistic?

Standardized Test Statistic formula is defined as the value obtained by subtracting the population parameter from the sample statistic and dividing the result by the standard error and is represented as t_Standardized = (S-P)/(σ) or Standardized Test Statistic = (Statistic-Parameter)/(Standard Deviation of Statistic). Statistic is a numerical value calculated from sample data. Statistics are used to estimate parameters and describe characteristics of the sample, Parameter is a numerical characteristic of a population. Parameters are fixed values often used to describe population characteristics in statistics & Standard Deviation of Statistic is the measure of the variability of a statistic (like the sample mean) calculated from different samples of the same size and drawn from the same population.

How to calculate Standardized Test Statistic?

Standardized Test Statistic formula is defined as the value obtained by subtracting the population parameter from the sample statistic and dividing the result by the standard error is calculated using Standardized Test Statistic = (Statistic-Parameter)/(Standard Deviation of Statistic). To calculate Standardized Test Statistic, you need Statistic (S), Parameter (P) & Standard Deviation of Statistic (σ). With our tool, you need to enter the respective value for Statistic, Parameter & Standard Deviation of Statistic 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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