Question

For a t distribution with degrees of freedom, find the area, or probability, in each region. a. To the right of (to 3 decimals) b. To the left of (to 2 decimals) c. To the left of (to 2 decimals) d. To the right of (to 2 decimals) e. Between and (to 2 decimals) f. Between and (to 2 decimals)

Answer 1

Answer:

a) P(t>2.120) = 0.025

b) P(t<1.337) = 0.90

c) P(t<-1.746) = 0.05

d) P(t>2.583) = 0.01

e) P(-2.120<t<2.120) = 0.95

f) P(-1.746<t<1.746) = 0.90

Step-by-step explanation:

The question is incomplete:

For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.

a. To the right of 2.120. (Use 3 decimals.)

b. To the left of 1.337. (Use 2 decimals.)

c. To the left of -1.746. (Use 2 decimals.)

d. To the right of 2.583. (Use 2 decimals.)

e. Between -2.120 and 2.120. (Use 2 decimals.)

f. Between -1.746 and 1.746. (Use 2 decimals.)

We have a t-distribution with 16 degrees of freedom.

We can calculate the probabilities with a spreadsheet, a table or an applet.

We have to calculate the probabilities of:

a) P(t>2.120) = 0.025

b) P(t<1.337) = 0.90

c) P(t<-1.746) = 0.05

d) P(t>2.583) = 0.01

e) P(-2.120<t<2.120) = 0.95

f) P(-1.746<t<1.746) = 0.90