Question

When ​N ​ is small (less than 30), how does the shape of the ​t ​ distribution compare to the normal distribution? a) It is almost perfectly normal. b) It is flatter and more spread out than the normal distribution. c) It is taller and narrower than the normal distribution. d) There is no consistent relationships between the ​t ​ distribution and the normal distribution.

Answer 1

Explanation:

There is not only one curve for t -student distribution, but 30

The t- student distribution curve is more wide the two tails have much more values than in the normal curve distribution.

Each curve in t-student distribution correspond to one specific degree of freedom. The curve t-student will become closer in shape to the curve of normal distribution as the degrees of freedom are growing till the become the same when n = 30