Let t₀ be a particular value of t. Use Table III in Appendix D to find t₀ values such that the following statements are true.

a. P(-t₀ 0) = .95 where df = 10

b. P(t ≤ -t₀ or t ≥ t₀) where df = 10

c. P(t ≤ t₀) = .05 where df = 10

d. P(t ≤ -t₀ or t ≥ t₀) = .10 where df = 20

e. P(t ≤ -t₀ or t ≥ t₀) = .01 where df = 5

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Table III f(t) Degrees of Freedom 1 2 7 8 9 10 11 12 Critical Values of t 0 ta t.100 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 t.050 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 t.025 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 t.010 31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 t.005 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 t.001 318.31 22.326 10.213 7.173 5.893 5.208 4.785 4.501 4.297 4.144 4.025 3.930 t.0005 636.62 31.598 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318