Statisticians have shown that the mathematical process that derived the Student t distribution is robust, which means that if the sampled population is nonnormal, the t-test of the population mean is still valid, provided that the population is not extremely nonnormal.

Question

Statisticians have shown that the mathematical process that derived the Student t distribution is robust, which means that if the sampled population is nonnormal, the t-test of the population mean  is still valid, provided that the population is not extremely nonnormal.

Quizplus · Accepted Answer

The t-test is robust to nonnormality as long as the sample size is sufficiently large and the nonnormality is not extreme. This is a well-established statistical concept.

Statisticians Have Shown That the Mathematical Process That Derived the Student