Question

approximate the area under the T curve with degrees of freedom 12 to the right of T= 2.179

S03 2) Approximate the area under the t-curve, with degrees of freedom 12, to the right of t = 2.179 a) b) c) d) .25 .025 .005 0005

Answer 1

Approximate the area under the t-curve with degrees of freedom 12, to the right of t=2.179

Answer :

b) .025

t-tables typically provide this information. By looking for the value of t=2.179 under 12 degrees of freedom row, and the corresponding column provides the area (or the probability)

lpdf) | p) 0.4 | 0.25 | 0.10 | 0.05 | 0.025 | 0.01 | 0.005 | 0.0005 | | 1| 0.324920 | 1.000000 | 3.077684 | 6.313752 | 12.70620 | 31.82052 63.65674 | 636.6192 1210.288675 10.816497 11.885618 | 2.919986 | 4.30265 16.96456 | 9.92484 | 31.5991 | 3| 0.276671 | 0.764892 | 1.63774 | 2.353363 | 3.18245 | 4.54070 | 15.84091 | | 12.9240 | 41 0.270722 1 0.740697 | 1.533206 | 2.131847 | 2.77645 13.74695 | 4.60409 | | 8.6103 1510267181 10.726687 11.475884 | 2015048 12.57058 13.36493 | 4.03214 | 6.8688 | | 6| 0.264835 | 0.717558 | 1.439756 | 1.943180 | 2.44691 | 3.14267 13.70743 | 5.9588 | 7| 0.263167 | 0.711142 | 1.414924 | 1.894579 | 2.36462 | 2.99795 | 3.49948 | 5.4079 | 8| 0.261921 | 0.706387 | 1.396815 | 1.859548 | 2.30600 | | 2.89646 | 13.35539 | 5.0413 | 9| 0.260955 | 0.702722 | 1.383029 | 1.833113 | 2.26216 | 2.82144 | 13.24984 | 4.7809 | 10 | 0.260185 | 0.699812 | 1.372184 | 1.812461 | 2.22814 ] 2.76377 13.16927 | 4.5869 | 11| 0.259556 | 0.69745 | 1.363430 | 1.795885 | 2.20099 | 2.71808 | 13.10581 | 4.4370 | 0.259033 | 0.695483 | 1.356217 | 1.782288 | 2.17881 | 2.68100 | 13.05454 | | 43178 | 13 | 0.258591 | 0.693829 | 1.350171 | 1.770933 | 2.16037] 2.65031 | 3.01228 | 4.2208 12

2.17881 $\small \approx$ 2.179