Use the Critical Values of t table to approximate the p-value for the t statisti

Question

Use the Critical Values of t table to approximate the p-value for the t statistic in each situation. (a) A two-tailed test with t = 2.33 and 13 df p-value < 0.010 0.010 < p-value < 0.020 0.020 < p-value < 0.050 0.050 < p-value < 0.100 0.100 < p-value < 0.200 p-value > 0.200 (b) A right-tailed test with t = 3.22 and 17 df p-value < 0.005 0.005 < p-value < 0.010 0.010 < p-value < 0.025 0.025 < p-value < 0.050 0.050 < p-value < 0.100 p-value > 0.100 (c) A left-tailed test with t = 5.59 and 6 df p-value < 0.005 0.005 < p-value < 0.010 0.010 < p-value < 0.025 0.025 < p-value < 0.050 0.050 < p-value < 0.100 p-value > 0.100

Explanation / Answer

a) Two tailed test with t = 2.33 and 13 df,

p - value = 2*P(t > 2.33) = 2*0.0183 = 0.0366

0.020 < p - value < 0.050

b) Right tailed test with t = 3.22 and 17 df,

p - value = P(t > 3.22) = 0.0025

p - value < 0.005

c) Left tailed test with t = -5.59 and 6 df,

p - value = P(t < -5.59) = 0.0007

p - value < 0.005

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