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 15 degrees of freedom.(c) Student's t-Distribution with 35 degrees of freedom.A. (c), (b), (a).B. (b), (a), (c).C. (a), (b), (c).D. (b), (c), (a).E. (a), (c), (b).F. (c), (a), (b).

Answer 1

The order for the most area in the tails of the distribution is (c), (b), (a).

Step-by-step explanation:

The Student's t-distribution has more area in its tails compared to the standard normal distribution. As the number of degrees of freedom increase, the Student's t-distribution becomes more like the standard normal distribution. Therefore, the order for the most area in the tails of the distribution is:

1. (c) Student's t-Distribution with 35 degrees of freedom.
2. (b) Student's t-Distribution with 15 degrees of freedom.
3. (a) Standard Normal Distribution.