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You have an SRS of 14 observations from a Normally distributed population. Use Table C to find the critical value you would use to obtain a 99.5% confidence interval for the mean u of the population? (Enter your answer rounded to three decimal places.)

You have an SRS of 14 observations from a Normally distributed population. Use Table C to find the critical value you would use to obtain a 99.5% confidence interval for the mean u of the population? (Enter your answer rounded to three decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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TABLES 699 Table entry for C is the critical value t* required for confidence level C. To approximate one- and two-sided P-values, compare the value of the t Tail area statistic with the critical values of t* Area C that match the P-values given at the bottom of the table. t* TABLE C t distribution critical values Confidence level C Degrees of freedom 50% 60% 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 99.9% 1 1.000 1.376 1.963 3.078 6.314 12.71 15.89 31.82 63.66 127.3 318.3 636.6 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.09 22.33 31.60 1.250 7.453 5.598 3 0.765 0.978 1.638 2.353 3.182 3.482 4.541 5.841 10.21 12.92 4 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 7.173 8.610 0.727 0.920 1.156 1.476 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 2.447 2.612 3.143 3.707 5.208 4.317 4.029 5.959 7 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.785 5.408 8 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041 9. 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781 10 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437 12 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 3.930 4.318 13 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221 14 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 16 0.690 0.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 17 0.689 0.863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 18 0.688 0.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.611 3.922 1.066 1.064 1.729 1.725 19 0.688 0.861 1.328 2.093 2.205 2.539 2.861 3.174 3.579 3.883 20 0.687 0.860 1.325 2.086 2.197 2.528 2.845 3.153 3.552 3.850 1.063 1.323 3.135 3.527 3.505 21 0.686 0.859 1.721 2.080 2.189 2.518 2.831 3.819 0.858 0.858 22 0.686 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.792 23 0.685 1.060 1.319 3.485 1.714 1.711 2.069 2.177 2.500 2.807 3.104 3.768 24 0.685 0.857 1.059 1.318 2.064 2.172 2.492 2.797 3.091 3.467 3.745 25 0.684 0.856 1.058 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725 26 0.684 0.856 1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707 27 0.684 0.855 1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690 28 0.683 0.855 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674 29 0.683 0.854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.396 3.659 30 0.683 0.854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.385 3.646 40 0.681 0.851 1.050 1.303 1.684 2.021 2.123 2.423 2.704 2.971 3.307 3.551 0.679 0.679 50 0.849 1.047 1.299 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496 60 0.848 1.045 1.296 1.671 2.000 2.099 2.390 2.660 2.915 3.232 3.460 80 0.678 0.846 1.043 1.292 1.664 1.990 2.088 2.374 2.639 2.887 3.195 3.416 100 0.677 0.845 1.042 1.290 1.660 1.984 2.081 2.364 2.626 2.871 3.174 3.390 1000 0.675 0.842 1.037 1.282 1.646 1.962 2.056 2.330 2.581 2.813 3.098 3.300 0.674 0.841 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.091 3.291 One-sided P .25 .20 .15 .10 .05 .025 .02 .01 .005 .0025 .001 .0005 Two-sided P .50 .40 .30 .20 .10 .05 .04 .02 .01 .005 .002 .001
Transcribed Image Text:TABLES 699 Table entry for C is the critical value t* required for confidence level C. To approximate one- and two-sided P-values, compare the value of the t Tail area statistic with the critical values of t* Area C that match the P-values given at the bottom of the table. t* TABLE C t distribution critical values Confidence level C Degrees of freedom 50% 60% 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 99.9% 1 1.000 1.376 1.963 3.078 6.314 12.71 15.89 31.82 63.66 127.3 318.3 636.6 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.09 22.33 31.60 1.250 7.453 5.598 3 0.765 0.978 1.638 2.353 3.182 3.482 4.541 5.841 10.21 12.92 4 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 7.173 8.610 0.727 0.920 1.156 1.476 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 2.447 2.612 3.143 3.707 5.208 4.317 4.029 5.959 7 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.785 5.408 8 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041 9. 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781 10 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437 12 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 3.930 4.318 13 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221 14 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 16 0.690 0.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 17 0.689 0.863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 18 0.688 0.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.611 3.922 1.066 1.064 1.729 1.725 19 0.688 0.861 1.328 2.093 2.205 2.539 2.861 3.174 3.579 3.883 20 0.687 0.860 1.325 2.086 2.197 2.528 2.845 3.153 3.552 3.850 1.063 1.323 3.135 3.527 3.505 21 0.686 0.859 1.721 2.080 2.189 2.518 2.831 3.819 0.858 0.858 22 0.686 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.792 23 0.685 1.060 1.319 3.485 1.714 1.711 2.069 2.177 2.500 2.807 3.104 3.768 24 0.685 0.857 1.059 1.318 2.064 2.172 2.492 2.797 3.091 3.467 3.745 25 0.684 0.856 1.058 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725 26 0.684 0.856 1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707 27 0.684 0.855 1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690 28 0.683 0.855 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674 29 0.683 0.854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.396 3.659 30 0.683 0.854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.385 3.646 40 0.681 0.851 1.050 1.303 1.684 2.021 2.123 2.423 2.704 2.971 3.307 3.551 0.679 0.679 50 0.849 1.047 1.299 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496 60 0.848 1.045 1.296 1.671 2.000 2.099 2.390 2.660 2.915 3.232 3.460 80 0.678 0.846 1.043 1.292 1.664 1.990 2.088 2.374 2.639 2.887 3.195 3.416 100 0.677 0.845 1.042 1.290 1.660 1.984 2.081 2.364 2.626 2.871 3.174 3.390 1000 0.675 0.842 1.037 1.282 1.646 1.962 2.056 2.330 2.581 2.813 3.098 3.300 0.674 0.841 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.091 3.291 One-sided P .25 .20 .15 .10 .05 .025 .02 .01 .005 .0025 .001 .0005 Two-sided P .50 .40 .30 .20 .10 .05 .04 .02 .01 .005 .002 .001
You have an SRS of 14 observations from a Normally distributed population. Use Table C to find the critical value you would use to obtain a 99.5% confidence interval for the mean u of the population? (Enter your answer rounded to three decimal places.) critical value:
Transcribed Image Text:You have an SRS of 14 observations from a Normally distributed population. Use Table C to find the critical value you would use to obtain a 99.5% confidence interval for the mean u of the population? (Enter your answer rounded to three decimal places.) critical value:
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