Walid S. Al-Sabah2022-05-182022-05-185258https://drepo.sdl.edu.sa/handle/20.500.14154/1082A robust univariate test of symmetry based on the correlation between the sample mean and the sample variance is presented. This test is sensitive to skewed transformations of symmetric random variables. Bsed on a certain characterization of the normal distribution, the procedure is extended to a test of normality.enThesis