Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/1499 2021 2021 Algebraic Approach to Neutrosophic Confidence Intervals Deptartment of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria Abdulrahman Astambli Deptartment of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria Mohamed Bisher Zeina Deptartment of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria Yasin Karmouta In this paper, confidence intervals for neutrosophic statistical populations were driven in many cases. Firstly, confidence intervals for one neutrosophic normal population parameters were driven including population’s mean which was driven under the assumption that variance is known, then it was driven under the assumption that variance is unknown and estimated based on the sample. Confidence interval for the neutrosophic variance was also driven based on sample’s estimates. Secondly, confidence intervals for two neutrosophic normal populations were driven including confidence intervals for means differences when variance are known or unknown, also confidence intervals for variances ratio for two populations were driven. All theorems and calculations were done using the AH-Isometry. Suitable numerical examples were presented and solved successfully. 2023 2023 08 22 10.54216/JNFS.050201 https://www.americaspg.com/articleinfo/24/show/1499