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

#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

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.)___________

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...

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24c) Draw a picture of a T-curve with an area of 0.995 to the
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24d) Draw a picture of a T-curve with an area of 0.95 between
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(a) 10 df, between -1.81 and 1.81
%
(b) 10 df, between -2.23 and 2.23
%
(c) 24 df, between -2.06 and 2.06
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___ %
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___%
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