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Post U × Unit 6-MAT220-3 × Take a Test-Karen Secure | https://www.mathxl.com/Student/PlayerTest.aspx?testid=182120245 MAT220.31: Statistics I [MOD5 ONLINE (4130-6/24/18)] Karen Webster & I 6/5/18 9:10 PM Test: POST UNIT 6 TEST - Ch. 9 Submit Test This Question: 1 pt 9 of 13 (7 complete) ? This Test: 13 pts Determine the t-value in each of the cases Table of t-Distribution Areas 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 0.05 with 18 degrees of freedom. ? (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.02 with 15 degrees of freedom t-Distribution Area in Right Tail df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619 2 0.816 1.061 1.386 1.886 2.920 4.303 4.8496.965 9.925 14.089 22.327 31.599 3 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 4 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.6045.598 50.727 0.920 1.156 L476 2.015 2.571 2.757 3.365 4.032 4.773 5.893-6.869 6 0.718 0,906 1.134 1.440 1.943 2.4472.612 3.143 3.707 4.317 5.20s 7 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 4.785 5.408 8 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 9 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.10 with 24 degrees of freedom. [Hint Use symmetry 7.453 10.215 12.924 8.610 (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 98% confidence. Assume 23 degrees of freedom (Round to three decimal places as needed) 10 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4587 11 0.697 0.876 1.088 1.363 1.796 2.20 2.328 2.718 3.106 3.497 4.025 12 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.68 3.055 3.428 3 13 0.694 0.870 1.079 1.350 1.77 2.160 2.282 2.650 3.012 3.372 14 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.2863,7334.073 16 0.690 0.8651.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4015 17 0.689 0.863 1.069 1.333 1.7402.110 2.224 2.567 3.646 3.965 Print Done Enter your answer in each of the answer boxes 9:10 PM Type here to searchExplanation / Answer
solution:-
(a) the area in the right tail is 0.05 with df = 18
t value is 1.734
(b)the area in the right tail is 0.02 with df = 15
t value is 2.249
(c) the area left of the t value is 0.10 with df = 24
t value is -1.318
(d)the t critical value that corresponds to 98% confidence interval with df = 23
then the area is 0.01 , with df = 23
then the t value is 2.500