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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.
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.
\( t=\frac{\bar{x}-\mu}{s \sqrt{n}}\)
Where:
XÌ„ = 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.
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.
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:
\(=\dfrac{\bar{x} – μ}{s \sqrt{n}}\)
\(=\dfrac{67 – 65}{3 \sqrt{25}}\)
\(=\dfrac{2}{3 * 5}\)
\(=\dfrac{2}{15}\)
\(=0.13\)
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:
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;