Problem 3: Suppose that you are testing the following hypotheses where the variance is unknown:,u = 100 H144 &gt; 100 The sample size is n = 10....
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# How to find out the p-value with t table? src="/qa/attachment/10700886/" alt="t-table.png" /> Attachment 1 Attachment 2 ATTACHMENT PREVIEW Download attachment q3.png Problem 3: Suppose that you are testing the following hypotheses where the variance is unknown: H0:,u = 100 H144 &gt; 100 The sample size is n = 10. Using the ttable, find bounds on the P-value for the following values of the test statistic. a) r0=2.75 b) 130:1.86 c) to: — 2.05 d) to: — 1.86 Remark: the degree of freedom, v = n — 1 ATTACHMENT PREVIEW Download attachment t-table.png 714 Appendix APPENDIX IV Percentage Points of the t Distribution av 0.40 0.25 0.025 0.01 0.005 0.0025 0.001 0.0005 0.325 1.000 3.078 6.314 12.706 63.657 127.32 318.31 0.289 0.816 1.886 2.920 4.303 6.965 9.925 14.089 23.326 31.598 0.765 1.638 2.353 3.182 4.541 5.841 12.924 0.271 0.741 1.533 2.132 2.776 3.747 4.604 5.598 7.173 8.610 1.476 2.571 4.032 4.773 5.893 6.869 0.727 1.440 1.943 2.447 3.143 3.707 4.317 5.208 5.959 0.711 1.415 1.895 2.365 2.998 5.408 0.706 2.306 2.896 3.355 3.833 4.501 5.041 0.703 1.383 1.833 2.262 2.821 3.250 3.690 4.297 4.781 10 0.260 0.700 1.372 1.812 2.228 2.764 3.581 4.144 4.587 11 0.260 0.697 1.363 1.796 2.20 3.106 4.025 4.437 12 0.259 0.695 1.782 2.179 2.681 3.055 3.428 3.930 4.318 0.694 1.350 2.160 2.650 3.012 3.372 3.852 14 0.258 0.692 1.345 1.761 2.145 2.624 2.977 15 0.258 3.326 3.787 4.140 0.691 2.131 2.947 3.286 16 0.258 4.073 0.690 1.337 1.746 2.120 2.583 2.921 3.252 3.686 4.015 1.333 2.110 2.898 3.222 3.646 18 0.257 3.965 0.688 1.330 1.734 2.101 2.552 2.878 3.197 19 0.257 3.610 3.992 0.688 1.328 2.093 2.539 2.861 3.174 20 0.257 3.579 3.883 0.687 1.325 1.725 2.086 2.528 2.845 3.153 0.686 3.552 3.850 1.721 2.080 2.518 2.831 3.135 22 0.256 3.527 3.819 0.686 1.321 1.717 2.074 2.508 2.819 3.119 23 0.256 3.505 3.792 0.685 1.319 2.069 2.500 2.807 3.104 24 0.256 3.485 3.767 0.685 1.711 2.064 2.492 2.797 0.684 3.467 3.745 2.060 2.485 2.787 3.078 26 0.256 3.450 3.725 0.684 1.315 1.706 2.056 2.479 2.779 3.067 27 0.256 3.435 3.707 0.684 1.703 2.052 2.473 2.771 3.057 3.421 3.690 0.683 1.313 1.701 2.048 2.763 3.047 3.408 0.683 3.674 1.311 1.699 2.045 2.462 2.756 3.038 3.396 30 0.256 3.659 0.683 1.697 2.042 2.457 2.750 3.030 3.385 3.646 0.681 1.684 2.021 2.423 2.704 2.971 3.307 3.551 1.296 1.671 2.000 2.660 2.915 120 0.254 3.232 3.460 0.677 1.289 1.658 1.980 2.358 2.617 2.860 3.160 3.373 0.253 1.282 1.645 1.960 3.090 3.291 v = degrees of freedom Source: Adapted with permission from Biometrika Tables for Statisticians, Vol. 1, 3rd ed., by E. S. Pearson and H. O. Hartley, Cambridge University Press, Cambridge, 1966.

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