In: Statistics and Probability
Why is the t-distribution flatter than the z-distribution?
Solution :-
t-distribution flatter than the z-distribution
The peak of the Z - ditribution would be higher, and the t distribution would have thicker tails.in general,the t distribution is bell shaped but is flatter and has a lower peak than the standard normal ( Z ) distribution,Particularly with smaller degree of freedom for the t - distribution.
the shape of the t-distribution is identical to the normal distribution when sample size is large. However, when sample sizes are small (below 30 subjects), the shape of the t-distribution is flatter than that of the normal distribution, and the t-distribution has greater area under the tails.