Algebraic Approach to Neutrosophic Confidence Intervals

Abstract

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.