Question

For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. (to 2 decimals)

a. to the right of 2.120

Answer 1

0.03

Explanation:

From t-table, at df=16 and t=2.120, probability is 0.025 or 0.03(to 2 decimals).

The probability refers to area to the right of 2.120

Answer 2

The area to the right of 2.120 is 0.0250 rounded to 4 decimal places

Explanation:

We are required to find
`P(t>2.120)`

To find this area we have to use the t distribution. Also we can use technology like excel to find the area to the right of 2.120.

The excel function is:

=TDIST(2.120,16,1)=0.0250

Where:

2.120 is the value of the test statistic

16 is the degrees of freedom

1 denotes the one tailed.

Therefore, the area to the right of 2.120 is 0.0250