从t分布定义可知，前提条件随机变量应该服从正态分布，而不符合正态分布的变量还考虑服从t分布？

使用拟合优度检验  cha**2

啊……你说的是不是t检验……

是t分布，建议你看看数理统计的抽样分布

I think I understand your question, because I have this question as well.
Unfortunately, there is NO way in SAS for testing if data follow by T distribution. Usually we call T distribution a 'fatter' normal one. So, fatter tail is true but not sharp mode (peak). so based on your plot, it does not look like T-distributed at all.
where we apply T-test, we believe the test statistic follows by a T -distribution. It may virtually be normally-distributed but not normal because we do have normal test. For example, count data on binomial.
Jingju