The difference between the 75th and 25th ... hypothesis tests cannot “prove” that the data are normally distributed; they can only provide evidence that a set of data does not follow a normal ...

Not all symmetrical distributions are normal since some data could appear ... Example of a Normal Distribution Many naturally occurring phenomena appear to be normally distributed.

Investopedia / Michela Buttignol The Wilcoxon test is a nonparametric statistical hypothesis test that compares two paired groups and does not assume a normal ... data is not normally distributed ...