Answer
The procedure to construct the t-interval is robust, which means that the distribution is accurate despite of the minor deviations from normality.
Work Step by Step
In statistics, the term robust means the strength of the statistical model, tests, and procedure as per the specific conditions of the analysis. The t-distribution is performed on a simple random sample. This implies that the confidence interval of average of population can be computed even for populations that are not normal and even t-distribution necessitates a population that is normal. In spite of the minor departures from normality, the t-distribution is accurate. Hence, the robust statistic is resistant to errors, which makes the t-distribution more accurate.
