The t distributions deviate from normality when
A) the null hypothesis is being tested
B) the alpha is less than .05
C) sample sizes become smaller
D) none of these, since the t distribution never deviates from normality

Question

Quizplus · Accepted Answer

The t distribution assumes normality when sample sizes are sufficiently large (typically, n > 30), but when sample sizes are smaller, the t distribution deviates from normality and becomes more variable. Therefore, option C is the correct answer. Options A and B are incorrect since they do not provide a valid reason for why the t distribution deviates from normality. Option D is incorrect as it presents an inaccurate statement - the t distribution deviates from normality under certain conditions, as outlined in the explanation.

The T Distributions Deviate from Normality When