{Exercise 8.11} For a t distribution with 16 degrees of freedom, find the area,

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Question

{Exercise 8.11}

For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. (to 2 decimals)

a. To the right of 2.120

b. To the left of 1.337

c. To the left of -1.746

d. To the right of 2.583

e. Between -2.120 and 2.120

f. Between -1.746 and 1.746

{Exercise 8.11}

For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. (to 2 decimals)

a. To the right of 2.120

b. To the left of 1.337

c. To the left of -1.746

d. To the right of 2.583

e. Between -2.120 and 2.120

f. Between -1.746 and 1.746

You have to use t-score distribution table to answer these question

a) P(right of 2.12) = 1-P(left of 2.12)

P(right of 2.12) = 1-0.975

P(right of 2.12) = 0.025

b) P(left of 1.337) = 0.9

c) P(left of -1.746) = 0.050

d) P(right of 2.583) = 0.99

e) P(between -2.12 and 2.12) = P(left of 2.12) - P(left of -2.12)

P(between -2.12 and 2.12) = 0.975 - 0.0250 = 0.95

f) P(between -1.746 and 1.746) = 0.95 - 0.05 = 0.9

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