Question

Help! Thanks in advance.

Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.02 with 30 degrees of freedom. (Round to three decimal places as needed.)

Tabio of t-Distnbution Aroas Fable VI t-Distribution Area in Right Tail df 0.25 0.2非 0.15 ·10 0.05 0,025 002 0.01 0.005 0.0023 a001 0.0005 0 3 1963 3.078 6314 12.706 15.894 31821 63.657 2732 318.309 636619 2 0816 1386 1886 2920 4303 4849 6.965 925 14069 22.327 31599 3Q7hSIL978 1.250 1.6382353 3.182 3.482 4341 5.841 7.453 İll215 12.924 4 0741 0941 1190 533 2.132 2.776 2.99 3747 460 508 7,1738.610 50.7270920 1.156 1.476 2015 2.571 2757 3365 4.132 4.773 5 3 6 0718 7 134 140 1943 244 2.612 3143 07 4317 .0 5959 0711 0896 11191.415 .895 2.365 2517 2998 3.499 4.0294.785 80.7061189 1.108 1.397 1.860 2.306 2449 28% 3.355 3833 4.501 5.041 9 0703 83 110 1383 1833 2262 2398 2821 3250 3690 4.27 4.78 10 000 0879 1093 1.372 .812 2228 2.359 2764 3169 3581 4.144 4.587 1106970876 1.068 1.363 1.7% 2.201 2.328 2718 3.106 3497 4025 4.437 12 0095 0873 1083 1356 17 219 2.303 26 30553428 33 4.318 13 i4 870 1079 1.350 1.771 2160 2282 2650 301 3.3723.852 4.221 14 0692 0 1076 1345 ,761 2145 2264 2624 2977 3326 3.787 4.140 15 0691 1074 1341 1.753 2.131 2249 2612 294 328 3.733 4.3 16 0690 05 1071 1337 .746 2120 2.235 2583 2921 3.252 356 4.015 17 0689 163 19 13331740 21 .224 2367 9 3.222 3646 396 18 0688 062 1067 13301.734 2101 2214 2352 2878 37 3.60 3922 19 0688 0611066 1.328 .729 2093 2.205 2539 286 3174 3.579 3883 20 0687 1064 1.325 1725 2.086 2197 2.5282.845 3.3 3.532 38 21 066 0859 1063 1.323172 2.00 219 2518 28313.13 3273.19 22 086 0858 106321 1.717 2074 2.183 2508 2819 3.1193.505 3.7 23 0685 0838 1060 1319 1.714 2.069 2177 2500 2807 3104 3485 3.768 24 0685 857 1039 1318.71 2.0 2172 2492 27930 33.745 25 0684 05 1.058 1.316 1.708 060 2167 2485 2787 3078 3450 3.725 26 0684 0856 L68 1.315 1706 2056 2.162 2479 2.779 3.007 3.435 NIT 27 0684 155 1057 1314 703 2052 2158 2473 2.77 30573421 28 0683 0855 1056 1.313 L701 2.048 2154 2467 2.63 307 3408 3.674 29 0683 0834 1065 1311 1.699205 2.1502402 2.7563.0383.363.6549 30068308541055 1.310 L607 2.042 2147 2457 2750 3030 3385 3.646 31 onhK21L853 11254 1.309 L696 2.เน。2.144 2453 2744 3.022 3.375 3.h33 32 0682 0853 1054 130 94 2037 2141 2449 2738 3015 3.365 3,622 33 0n82 853 1.053 308 1692 2.035 2138 2445 2.733 30083.356 3,011 340.hK21L852 1.252 1.3171丘91 2.152 2136 2.441 2728 302 3348 3.601 35 0682 0852 1052 1306 L690 2.030 2.133 2438 2724 299 3.340 3591 36 0hKl 1352 1052 1.306 L688 2.008 2131 2434 2719 2991 3333 3.582 ▼

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Answer #1

Solution :

Given that,

Degrees of freedom = df = n - 1 = 30

\alpha = 0.02

This is the right tailed test .

t\alpha , df = t0.02,30 = 2.147

t value = 2.147

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