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
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