David Morse
Hello Saroj,
The formula: t = (mean - hypothesized mean) / SD / (N)^0.5
represents the computation for a "one-sample t-test," the general goal of which is to test the hypothesis that a population mean = some specified value. One presumes that:
1. The sample data used were randomly and independently selected from the target population;
2. The variable being measured is normally distributed (more correctly: the errors or residuals from a fitted model are normally distributed);
3. The scores are measured without error.
4. The scores are at least of interval strength/scale.
Here's a link that you may find helpful for further explanation: https://www.statology.org/one-sample-t-test/
Good luck with your work.
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