Question

In: Statistics and Probability

Why is the t-distribution flatter than the z-distribution?

Why is the t-distribution flatter than the z-distribution?

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Expert Solution

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.


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