Question

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.

Answer 1

Answer:

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