Question

Scenario 8.3

For the next 6 questions, assume you have a t distribution with 16 degrees of freedom, and use this information to find the appropriate area, or probability, in each region given.

1. Based on the information in Scenario 8.3, what is the area in the t distribution to the right of 2.120 ?( 3 decimals.)

2. Based on the information in Scenario 8.3, what is the area in the t distribution to the left of 1.337. (Use 2 decimals)

3. Based on the information in Scenario 8.3, what is the area in the t distribution to the left of -1.746. (Use 2 decimals)

4. Based on the information in Scenario 8.3, what is the area in the t distribution to the right of 2.583. (Use 2 decimals)

5. Based on the information in Scenario 8.3, what is the area in the t distribution between -2.120 and 2.120 (Use 2 decimals)

6. Based on the information in Scenario 8.3, what is the area in the t distribution between -1.746 and 1.746. (Use 2 decimals)

Answer 1

Given that df = 16

(A) using excel function T.DIST.RT(x,df)

setting x = 2.120 and df = 16

we get

area = T.DIST.RT(2.120,16) = 0.025

(B) using excel function T.DIST(x,df,true)

setting x = 1.337 and df = 16

we get

area = T.DIST(1.337,16,true) = 0.90

(C)

using excel function T.DIST(x,df,true)

setting x = -1.746and df = 16

we get

area = T.DIST(-1.746,16) = 0.05

(D) using excel function T.DIST.RT(x,df)

setting x = 2.583 and df = 16

we get

area = T.DIST.RT(2.583,16) = 0.01

(E) using excel function T.DIST(x,df,true)

setting x = 2.120 and y = -2.120 and df = 16

we get

area = T.DIST(2.120,16,true)-T.DIST(-2.120,16,true) = 0.95

(F) using excel function T.DIST(x,df,true)

setting x = 1.746 and y = -1.746 and df = 16

we get

area = T.DIST(1.746,16,true)-T.DIST(-1.746,16,true) = 0.90