Put the following in order for the most area in the tails of the distribution. (a) Standard Normal Distribution (b) Student's t-Distribution with 30 degrees of freedom. (c) Student's t-Distribution with 50 degrees of freedom. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.

Highest area) Student's t-Distribution with 30 degrees of freedom

Middle) Student's t-Distribution with 50 degrees of freedom

Lowest are) Standard deviation distribution

Step-by-step explanation:

Knowing that higher area of the tails correspond to higher dispersion of the t - distribution, and the following properties of t-distribution:

- when the degrees of freedom increase, the dispersion diminishes

- when the degrees of freedom goes to ∞, t - distribution approaches the standard normal distribution (thus the z-curve is known as t-curve with df=∞)

the correct answer is

Tail area : standard deviation < 50 df < 30 df