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A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? Full data set D Carpeted Uncarpeted 5.9 10.9 8 5.2 7.1 1.2 10.9 10.2 11.4 10 13 6.9 10.9 6.6 6.4 7.7 E Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Ho: V versus H Calculate the test statistic, to- th = (Round to two decimal places as needed.) Now find the critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O A. ta O B. w2= Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? O A. No, because the test statistic is not in the critical region. O B. Yes, because the test statistic is in the critical region. O C. Yes, because the test statistic is not in the critical region. O D. No, because the test statistic is in the critical region.

A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? Full data set D Carpeted Uncarpeted 5.9 10.9 8 5.2 7.1 1.2 10.9 10.2 11.4 10 13 6.9 10.9 6.6 6.4 7.7 E Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Ho: V versus H Calculate the test statistic, to- th = (Round to two decimal places as needed.) Now find the critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O A. ta O B. w2= Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? O A. No, because the test statistic is not in the critical region. O B. Yes, because the test statistic is in the critical region. O C. Yes, because the test statistic is not in the critical region. O D. No, because the test statistic is in the critical region.

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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Area in right tail t-Distribution Area in Right Tail Degrees of Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.376 1.963 1.386 1.250 1.190 1.156 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 1 1.000 0.816 0.765 0.741 0.727 3.078 1.886 1.638 1.533 1.476 15.894 4.849 3.482 2.999 2.757 127.321 14.089 7.453 5.598 4.773 318.309 636.619 22.327 10.215 7173 5.893 31.599 1.061 0.978 0.941 0.920 12.924 8.610 6.869 2.776 2.571 4.032 0.718 0.711 0.706 0.703 0.700 0.906 0.896 0.889 0.883 0.879 2.447 2.365 2.306 2.262 2.228 5.208 4.785 4.501 4.297 4.144 1.134 1.943 1.895 1.860 1.833 1.812 3.143 2.998 2.896 2.821 2.764 4.317 5.959 5.408 5.041 4.781 4.587 6. 7 1.440 1.415 1.119 1.108 1.100 1.093 1.397 1.383 1.372 2.612 2.517 2.449 2.398 2.359 3.707 3.499 3.355 3.250 4.029 3.833 3.690 3.581 9 10 3.169 11 12 13 14 15 0.697 0.695 0.694 0.692 0.691 0.876 0.873 0.870 0.868 0.866 1.088 1.083 1.079 1.076 1.363 1.356 1.350 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.328 2.303 2.282 2.264 2.249 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 2.947 3.497 3.428 3.372 3.326 3.286 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 4.140 4.073 1.345 1.341 2.145 1.074 2.131 2.120 2.110 2.101 2.093 2.086 4.015 3.965 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.235 16 17 18 19 20 0.690 0.689 0.688 0.688 0.687 2.583 2.567 2.552 2.539 2.528 3.252 3.222 3.197 3.174 3.153 0.865 0.863 0.862 0.861 0.860 2.224 2.214 2.205 2.921 2.898 2.878 2.861 2.845 3.686 3.646 3.610 3.579 3.552 3.922 3.883 3.850 2.197 0.686 0.686 0.685 0.685 0.684 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 2.080 2.074 2.069 2.064 2.060 2.518 2.508 2.500 2.492 2.485 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 3.819 21 22 23 24 25 0.859 0.858 0.858 0.857 0.856 1.721 1.717 1.714 1.711 1.708 2.189 2.183 2.177 2.172 2.167 2.831 2.819 2.807 2.797 2.787 3.792 3.768 3.745 3.725 26 27 28 29 0.684 0.684 0.683 0.683 0.856 0.855 0.855 0.854 0954 1.058 1.057 1.056 1.055 1.315 1.314 1.313 1.311 1.706 1.703 1.701 2.056 2.052 2.048 2.045 2.162 2.158 2.154 2.150 2.479 2.473 2.467 2.462 2.779 2.771 2.763 2.756 3.067 3.057 3.047 3.038 3.435 3.421 3.408 3.396 3 385 3.707 3.690 3.674 3.659 1.699 20 0 683 1055 1310 1607 2012 2147 2457 2750 2.030 3646
Transcribed Image Text:Area in right tail t-Distribution Area in Right Tail Degrees of Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.376 1.963 1.386 1.250 1.190 1.156 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 1 1.000 0.816 0.765 0.741 0.727 3.078 1.886 1.638 1.533 1.476 15.894 4.849 3.482 2.999 2.757 127.321 14.089 7.453 5.598 4.773 318.309 636.619 22.327 10.215 7173 5.893 31.599 1.061 0.978 0.941 0.920 12.924 8.610 6.869 2.776 2.571 4.032 0.718 0.711 0.706 0.703 0.700 0.906 0.896 0.889 0.883 0.879 2.447 2.365 2.306 2.262 2.228 5.208 4.785 4.501 4.297 4.144 1.134 1.943 1.895 1.860 1.833 1.812 3.143 2.998 2.896 2.821 2.764 4.317 5.959 5.408 5.041 4.781 4.587 6. 7 1.440 1.415 1.119 1.108 1.100 1.093 1.397 1.383 1.372 2.612 2.517 2.449 2.398 2.359 3.707 3.499 3.355 3.250 4.029 3.833 3.690 3.581 9 10 3.169 11 12 13 14 15 0.697 0.695 0.694 0.692 0.691 0.876 0.873 0.870 0.868 0.866 1.088 1.083 1.079 1.076 1.363 1.356 1.350 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.328 2.303 2.282 2.264 2.249 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 2.947 3.497 3.428 3.372 3.326 3.286 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 4.140 4.073 1.345 1.341 2.145 1.074 2.131 2.120 2.110 2.101 2.093 2.086 4.015 3.965 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.235 16 17 18 19 20 0.690 0.689 0.688 0.688 0.687 2.583 2.567 2.552 2.539 2.528 3.252 3.222 3.197 3.174 3.153 0.865 0.863 0.862 0.861 0.860 2.224 2.214 2.205 2.921 2.898 2.878 2.861 2.845 3.686 3.646 3.610 3.579 3.552 3.922 3.883 3.850 2.197 0.686 0.686 0.685 0.685 0.684 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 2.080 2.074 2.069 2.064 2.060 2.518 2.508 2.500 2.492 2.485 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 3.819 21 22 23 24 25 0.859 0.858 0.858 0.857 0.856 1.721 1.717 1.714 1.711 1.708 2.189 2.183 2.177 2.172 2.167 2.831 2.819 2.807 2.797 2.787 3.792 3.768 3.745 3.725 26 27 28 29 0.684 0.684 0.683 0.683 0.856 0.855 0.855 0.854 0954 1.058 1.057 1.056 1.055 1.315 1.314 1.313 1.311 1.706 1.703 1.701 2.056 2.052 2.048 2.045 2.162 2.158 2.154 2.150 2.479 2.473 2.467 2.462 2.779 2.771 2.763 2.756 3.067 3.057 3.047 3.038 3.435 3.421 3.408 3.396 3 385 3.707 3.690 3.674 3.659 1.699 20 0 683 1055 1310 1607 2012 2147 2457 2750 2.030 3646
Full data set D A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? Carpeted 11.4 10.2 Uncarpeted 10.9 10.9 5.9 10 13 6.9 10.9 8 5.2 6.6 6.4 7.7 7.1 1.2 Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Ho: versus H1: Calculate the test statistic, to. to = (Round to two decimal places as needed.) %D Now find the critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O A. ta = B. ta/2= Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? O A. No, because the test statistic is not in the critical region. B. Yes, because the test statistic is in the critical region. C. Yes, because the test statistic is not in the critical region. D. No, because the test statistic is in the critical region.
Transcribed Image Text:Full data set D A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? Carpeted 11.4 10.2 Uncarpeted 10.9 10.9 5.9 10 13 6.9 10.9 8 5.2 6.6 6.4 7.7 7.1 1.2 Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Ho: versus H1: Calculate the test statistic, to. to = (Round to two decimal places as needed.) %D Now find the critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O A. ta = B. ta/2= Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? O A. No, because the test statistic is not in the critical region. B. Yes, because the test statistic is in the critical region. C. Yes, because the test statistic is not in the critical region. D. No, because the test statistic is in the critical region.
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