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The calculator calculates the t-value of the dataset with sample mean, population mean, standard deviation, and sample size.

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For a given set of values, the t statistic calculator calculates the T statistic and the corresponding p-value, allowing you to determine the statistical significance of the results. In this way, you can determine the difference between the mean of the two groups.
**What Is T-Statistics?**

T-Test Statistics is the metric that is used to quantify the relation between a sample and its population. This t-test statistics assesses the hypotheses regarding the population mean.
The t-statistics determines that the results rejected or support the null hypothesis and it takes into account the probability of results occurring by chance. The t-statistic is a key part of the Student's t-test, which compares the average of a sample with the average of the whole population.
**Formula:**

**X̄ = sample mean**
**μ = population mean**
**n = sample size**
**s = standard deviation**
In the case of small sample sizes or uncertain population standard deviation, the t statistics is commonly used in place of the z-statistics.
**How To Calculate T Statistic?**

The t statistic is evaluated by comparing the difference between the sample means to the variability within the samples, and the t statistics calculator automates this calculation for ease and accuracy.
**Example:**

If a sample of learners has different average heights from the known population average height is 65 inches. How to calculate T value for one sample in which the mean height is 67 inches and the sample standard deviation is 3 inches?
**Given Values:**
**Solution:**

\(=\dfrac{\bar{x} - μ}{s \sqrt{n}}\)
\(=\dfrac{67 - 65}{3 \sqrt{25}}\)
\(=\dfrac{2}{3 * 5}\)
\(=\dfrac{2}{15}\)
\(=0.13\)
**Steps To Use T Value Calculator:**

It is a simple process to use the t score calculator to interpret the statistical significance of your data. So have a look at the points below:
**Inputs:**
**Outputs:**
**Relation Of T-Score With Data Values:**

In hypothesis testing, t-score is used to compare various sets of data or multiple values within the same set. It measures how similar the data is in terms of standard deviations. So;

\( t=\frac{\bar{x}-\mu}{s \sqrt{n}}\)

Where:
- Population Mean (μ) = 65 inches
- Sample Mean x̄ = 67 inches
- Sample Size (n) = 25
- Sample Standard Deviation (s) = 3 inches

- (x̄) Sample mean
- (μ) Population mean
- Sample size
- (s) Sample standard deviation

- T statistics
- Complete solution with steps

- A low t-score shows that the groups have similarities between the two sample sets.
- A large t-score shows that the groups are different between the two sample sets.

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