Question

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.)

Answer 1

#By Using R
#a)
round(1-pt(2.120,16),3)
[1] 0.025
#b)
round(pt(1.337,16),2)
[1] 0.9
#c)
round(pt(-1.747,16),2)
[1] 0.05
#d)
round(1-pt(2.583,16),2)
[1] 0.01
#e)
round(pt(2.120,16)-pt(-2.120,16),2)
[1] 0.95
#f)
round(pt(1.747,16)-pt(-1.746,16),2)
[1] 0.9