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For a test of H0: μ = 15 versus Ha: μ ̸= 15, the value of...

  1. For a test of H0: μ = 15 versus Ha: μ ̸= 15, the value of the test statistic is t = 3.472 based on a sample of 9 observations. Based on Table D, how would you express the P-value?

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t Table cum. prolb .50 85 .95 975 995 9995 one-tail 0.50 0.25 0.20 0.15 0.10 0.05 0.025 0.01 0.005 0.001 0.0005 two-tails 1.00 0.50 0.40 0.30 0.20 0.10 0.05 0.02 0.01 0.002 0.001 80 df 10.0001.000 1.376 1.963 3.078 6.314 12.71 31.82 63.66 318.31 636.62 2 0.000 0.8161.061 1.386 1.8862.920 4.303 6.965 9.925 22.327 31.599 3 0.000 0.765 0.978 1.250 1.638 2.353 3.182 4.541 5.841 10.215 12.924 4 0.000 0.7410.94 .190 1.533 2.132 2.776 3.747 4.6047.173 8.610 5 0.000 0.727 0.920 156 1.476 2.015 2.571 3365 4.032 5.893 6.869 6 0.000 0.718 0.906 1.134 1.440 .943 2.447 3.1433.707 5.208 5.959 7 0.000 0.711 0.896 1.119 1.415 1.895 2.365 2.998 3.499 4.785 5.408 8 0.000 0.7060.889 .108 1.3971.860 2.306 2.896 3.355 4.501 5.041 9 0.000 0.703 0.883 1.100 1.383 1.833 2.262 2.821 3.250 4.297 4.78 10 0.000 0.700 0879 1.093 1.372 1.812 2.228 2.7643.169 4.144 4.587 11 0.000 0.6970.876 1.088 1.363 1.796 2.201 2.718 3.106 4.025 4.437 12 0.000 0.695 0.873 1.083 .356 1.782 2.179 2.68 3.055 3.930 4.318 13 0.000 0.694 0.870 1.079 1.350 7712.160 2.650 3.012 3.852 4.221 14 0.000 0.692 0.868 1.076 1.345 1.761 2.145 2.624 2.977 3.787 4.140 1.7532.131 2.602 2.947 3.733 4.073 16 0.000 0.690 0.865 1.071.337 1.746 2.120 2.583 2.921 3.686 4.015 17 0.000 0.689 0.863 1.069 1.333 1.740 2.110 2.567 2.898 3.646 3.965 18 0.000 0.688 0.862 1.0671.330 1.734 2.101 2.552 2.878 3.610 3.922 19 0.000 0.688 0.861 1.066 1.328 1.729 2.093 2.539 2.861 3.579 3.883 20 0.000 0.687 0.860 1.0641.325 1.725 2.086 2.528 2.845 3.552 3.850 21 0.000 0.686 0.859 1.063 1.323 721 2.080 2.518 2.831 3.527 3.819 22 0.000 0.686 0.858 .061.321 1.717 2.074 2.508 2.819 3.505 3.792 23 0.000 0.685 0.858 1.060 .319 1714 2.069 2.500 2.807 3.485 3.768 24 0.000 0.685 0.857 1.059 1.318 1.711 2.0642.492 2.797 3.467 3.745 25 0.000 0.6840.856 1.0581.316 1.708 2.060 2.485 2.787 3.450 3.725 26 0.000 0.684 0.856 1.058 1.315 1.706 2.056 2.479 2.779 3.435 3.707 271 0.000 0.684 0.855 1.057 1.314 1.703 2.052 2.473 2.771 3.421 3.690 28 0.0000.683 0.855 1.056 1.313 1.701 2.048 2.467 2.763 3.408 3.674 .699 2.045 2.462 2.756 3.396 3.659 30 0.000 0.683 0.854 1.055 1.310 1.697 2.042 2.4572.750 3.385 3.646 1.050 .303 1.684 2.021 2.423 2.704 3.307 3.551 60 0.000 0.679 0.848 1.045 1.296 1.671 2.000 2.390 2.660 3.232 3.460 80 0.000 0.678 0.846 1.043 1.292 .664 1.990 2.374 2.639 3.195 3.416 100 0.000 0.677 0.845 1.042 1.290 .660 .984 2.364 2.626 3.1743.390 000 0.000 0.675 0.842 1.0371.282 1.646962 2.330 2.58 3.098 3.300 0.000 0.674 0.842 1.036 1.282 1.645 1.960 2.326 2.576 3.090 3.291 0% 50% 60% 70% 80% 90% 95% 98% 99% 99.8% 99.9% 15 0.000 0.691 0.866 1.074 .341 29 0.000 0.683 0.854 1.055 1.311 40 0.000 0.681 0.851 Confidence Levele value of the test stabicie t-2.4 Rased an a sample of g ouseretane Deareeg o P-value Pane exauオ P-value-o.ooeq

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