ABOUT T-STATISTICS AND THE THEORY OF T-TESTS ON IT

Authors

  • Erkin Tukhtaev Associate Professor, Karshi State University
  • Omonniyozov Quvvat 2nd Year Master's Student in Mathematics of Karshi State University

Keywords:

For this reason, the t-statistic, introduced by Student, plays a crucial role. In this paper, the theoretical foundations of the t-test are studied in connection with the Central Limit Theorem and Slutsky’s Theorem.

Abstract

This paper investigates the theory of the t-statistic and t-tests, which are widely used in mathematical statistics. The theoretical foundations of the t-test are justified using the Central Limit Theorem (CLT) and Slutsky’s Theorem. The importance of the t-test in estimating population parameters and testing statistical hypotheses in small samples is demonstrated. In addition, one-sample, two-sample, and paired-sample t-tests are analyzed.

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References

Sh.Q.Farmonov. “Ehtimollar nazariyasi”, Toshkent, “Universitet”, 2014.

Ross, Sheldon M. a first course in probability. Pearson Education, lnc.2010.

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Боровков А.А.«Теория вероятностей», Москва, «Лань», 2010 г. Стр.705.

A.A.Abdushukurov, T.M.Zuparov. “Ehtimollar nazariyasi va matematik statistika”, Tafakkur bo‘stoni,2015 yil.

S.X. Sirojiddinov, M. Mamatov “Ehtimollar nazariyasi va matematik statistika”, Toshkent, “O‘qituvchi”, 1980 yil.

Севастянов Б.А. «Курс теории вероятностей и математической статистики», Москва, «Наука», 1982 г.

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Published

2026-05-12

How to Cite

Erkin Tukhtaev, & Omonniyozov Quvvat. (2026). ABOUT T-STATISTICS AND THE THEORY OF T-TESTS ON IT. Journal of Applied Science and Social Science, 16(5), 431–433. Retrieved from https://www.internationaljournal.co.in/index.php/jasass/article/view/4350

Issue

Vol. 16 No. 5 (2026): Journal of Applied Science and Social Science

Section

Articles

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