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What critical value of t* should be used for a 99.5% confidence interval for the population mean based upon a random sample of 18 observations? Find the t-table here. t* = 2.878 t* = 2.898 t* = 3.197 t* = 3.222

What critical value of t* should be used for a 99.5% confidence interval for the population mean based upon a random sample of 18 observations? Find the t-table here. t* = 2.878 t* = 2.898 t* = 3.197 t* = 3.222

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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What critical value of t* should be used for a 99.5% confidence interval for the population mean based upon a random sample of 18 observations?

Find the t-table here.

t* = 2.878
t* = 2.898
t* = 3.197
t* = 3.222
Table entry for p and C is the point t* with probability p lying to its right and probability C lying between -t* and t*. t Distribution Critical Values Tail Probability p df .25 .20 .15 .10 .05 .025 .02 .01 .005 .0025 .001 .0005 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 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.09 22.33 31.60 2 .816 .765 .978 3 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.21 12.92 4 .741 .941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 7.173 8.610 5 .727 .920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.869 6 .718 7 .711 .906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.959 .896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 4.785 5.408 .889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041 8 .706 9 .703 10 .883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781 .700 .879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 .876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437 .873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 4.930 4.318 11 .697 12 .695 13 .694 .870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221 14 .692 15 .691 .868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 .866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 16 .690 .865 17 .689 .863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 18 .688 .862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.611 3.922 19 .688 .861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 20 .687 .860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850 21 .686 .859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819 22 .686 .858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792 23 .685 .858 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768 .857 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745 24 .685
Transcribed Image Text:Table entry for p and C is the point t* with probability p lying to its right and probability C lying between -t* and t*. t Distribution Critical Values Tail Probability p df .25 .20 .15 .10 .05 .025 .02 .01 .005 .0025 .001 .0005 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 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.09 22.33 31.60 2 .816 .765 .978 3 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.21 12.92 4 .741 .941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 7.173 8.610 5 .727 .920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.869 6 .718 7 .711 .906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.959 .896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 4.785 5.408 .889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041 8 .706 9 .703 10 .883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781 .700 .879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 .876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437 .873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 4.930 4.318 11 .697 12 .695 13 .694 .870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221 14 .692 15 .691 .868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 .866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 16 .690 .865 17 .689 .863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 18 .688 .862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.611 3.922 19 .688 .861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 20 .687 .860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850 21 .686 .859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819 22 .686 .858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792 23 .685 .858 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768 .857 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745 24 .685
13 .694 .870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221 14 .692 .868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 15 .691 .866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 16 .690 .865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 17 .689 .863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 18 .688 19 .862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.611 3.922 .688 .861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 .860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850 20 .687 21 .686 .859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819 22 .686 .858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792 23 .685 .858 .685 .857 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745 24 25 26 .684 .856 .684 .856 .684 .855 1.058 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725 1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707 1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674 27 28 .683 .855 29 .683 .854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.396 3.659 30 .683 .854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.385 3.646 .851 1.050 1.303 1.684 2.021 2.123 2.423 2.704 2.971 3.307 3.551 40 .681 50 .679 .849 1.047 1.299 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496 60 .679 .848 80 .678 1.045 1.296 1.671 2.000 2.099 2.390 2.660 2.915 3.232 3.460 .846 1.043 1.292 1.664 1.990 2.088 2.374 2.639 2.887 3.195 3.416 1.042 1.290 1.660 1.984 2.081 2.364 2.626 2.871 3.174 3.390 100 .677 .845 1000 .842 .675 .674 .841 1.037 1.282 1.646 1.962 2.056 2.330 2.581 2.813 3.098 3.300 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.091 3.291 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 99.9% Confidence Level C 50% 60% Copyright © Edgenuity Inc.
Transcribed Image Text:13 .694 .870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221 14 .692 .868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 15 .691 .866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 16 .690 .865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 17 .689 .863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 18 .688 19 .862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.611 3.922 .688 .861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 .860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850 20 .687 21 .686 .859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819 22 .686 .858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792 23 .685 .858 .685 .857 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745 24 25 26 .684 .856 .684 .856 .684 .855 1.058 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725 1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707 1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674 27 28 .683 .855 29 .683 .854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.396 3.659 30 .683 .854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.385 3.646 .851 1.050 1.303 1.684 2.021 2.123 2.423 2.704 2.971 3.307 3.551 40 .681 50 .679 .849 1.047 1.299 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496 60 .679 .848 80 .678 1.045 1.296 1.671 2.000 2.099 2.390 2.660 2.915 3.232 3.460 .846 1.043 1.292 1.664 1.990 2.088 2.374 2.639 2.887 3.195 3.416 1.042 1.290 1.660 1.984 2.081 2.364 2.626 2.871 3.174 3.390 100 .677 .845 1000 .842 .675 .674 .841 1.037 1.282 1.646 1.962 2.056 2.330 2.581 2.813 3.098 3.300 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.091 3.291 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 99.9% Confidence Level C 50% 60% Copyright © Edgenuity Inc.
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