2. Determine theupper-tail critical value t/2 in each of the following circumstances.

(Round to four decimal places asneeded.)

a.	1=0.99,n=51		d.	1=0.99,n=27
b.	1=0.95,n=51		e.	1=0.90,n=9
c.	1=0.99,n=34

Critical Values of t For a particular number of degrees of freedom, entry represents the critical value of t corresponding to the cumulative probability (1 - a) and a specified upper-tail area (a). 0 Cumulative Probabilities 0.75 0.90 0.95 0.975 0.99 0.995 Degrees of Upper-Tail Areas Freedom 0.25 0.10 0.05 0.025 0.01 0.005 1.0000 3.0777 6.3138 12.7062 31.8207 63.6574 W N - 0.8165 1.8856 2.9200 4.3027 6.9646 0.7649 9.9248 1.6377 2.3534 3.1824 4.5407 0.7407 5.8409 1.5332 2.1318 2.7764 3.7469 0.7267 1.4759 4.6041 2.0150 2.5706 3.3649 4.0322 0.7176 1.4398 1.9432 2.4469 3.1427 3.7074 0.711 1 1.4149 1.8946 2.3646 2.9980 0.7064 3.4995 1.3968 1.8595 2.3060 2.8965 3.3554 0.7027 1.3830 1.8331 2.2622 2.8214 3.2498 0.6998 1.3722 1.8125 2.2281 2.7638 3.1693 11 0.6974 1.3634 1.7959 2.2010 12 2.7181 3.1058 0.6955 1.3562 1.7823 2.1788 2.6810 3.0545 0.6938 1.3502 1.7709 2.1604 2.6503 0.6924 3.0123 1.3450 1.7613 2.1448 15 2.6245 2.9768 0.6912 1.3406 1.7531 2.1315 2.6025 2.9467 16 0.6901 1.3368 1.7459 2.1199 2.5835 0.6892 2.9208 1.3334 1.7396 2.1098 2.5669 18 2.8982 0.6884 1.3304 1.7341 2.1009 19 2.5524 2.8784 0.6876 1.3277 1.7291 2.0930 2.5395 20 2.8609 0.6870 1.3253 1.7247 2.0860 2.5280 2.8453 21 0.6864 1.3232 1.7207 2.0796 2.5177 22 2.8314 0.6858 1.3212 1.7171 2.0739 23 2.5083 0.6853 2.8188 1.3195 1.7139 2.0687 2.4999 24 2.8073 0.6848 1.3178 1.7109 25 2.0639 2.4922 2.7969 0.6844 1.3163 1.7081 2.0595 2.4851 2.7874 26 0.6840 1.3150 1.7056 27 2.0555 2.4786 2.7787 0.6837 1.3137 1.7033 28 2.0518 2.4727 2.7707 0.6834 1.3125 1.701 1 29 2.0484 2.4671 2.7633 0.6830 1.3114 1.6991 2.0452 30 2.4620 2.7564 0.6828 1.3104 1.6973 2.0423 2.4573 2.7500 31 0.6825 1.3095 1.6955 32 2.0395 2.4528 2.7440 0.6822 1.3086 1.6939 2.0369 33 2.4487 2.7385 0.6820 1.3077 1.6924 2.0345 2.7333 34 2.4448 0.6818 1.3070 1.6909 2.0322 35 2.4411 2.7284 0.6816 1.3062 1.6896 2.0301 2.4377 2.7238 36 0.6814 1.3055 1.6883 2.0281 2.4345 2.7195 37 0.6812 1.3049 1.6871 2.0262 2.4314 2.7154 38 0.6810 1.3042 1.6860 2.0244 2.4286 2.71 16 39 0.6808 1.3036 1.6849 2.0227 2.4258 2.7079 40 0.6807 1.3031 1.6839 2.0211 2.4233 2.7045 41 0.6805 1.3025 1.6829 2.0195 2.4208 2.7012 42 0.6804 1.3020 1.6820 2.0181 2.4185 2.6981 43 0.6802 1.3016 1.6811 2.0167 2.4163 2.6951 44 0.6801 1.3011 1.6802 2.0154 2.4141 2.692399 0.6770 1.2902 1.6604 1.9842 2.3646 2.6264 100 0.6770 1.2901 1.6602 1.9840 2.3642 2.6259 110 0.6767 1.2893 1.6588 1.9818 2.3607 2.6213 120 0.6765 1.2886 1.6577 1.9799 2.3578 2.6174 0.6745 1.2816 1.6449 1.9600 2.3263 2.5758 Degrees of 0.25 0.10 0.05 0.025 0.01 0.005 Freedom Upper-Tail Areas 0.75 0.95 0.975 0.99 0.995 Cumulative Probabilities