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(a) Determine a point estimate for the population mean. A point estimate for the population mean is. (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) O A. There is a 95% probability that the true mean pH of rain water is between and O B. There is 95% confidence that the population mean pH of rain water is between and O C. If repeated samples are taken, 95% of them will have a sample pH of rain water between and (c) Construct and interpret a 99% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) O A. There is a 99% probability that the true mean pH of rain water is between and O B. If repeated samples are taken, 99% of them will have a sample pH of rain water between and O C. There is 99% confidence that the population mean pH of rain water is between and (d) What happens to the interval as the level of confidence is changed? Explain why this is a logical result. As the level of confidence increases, the width of the interval V This makes sense since the

(a) Determine a point estimate for the population mean. A point estimate for the population mean is. (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) O A. There is a 95% probability that the true mean pH of rain water is between and O B. There is 95% confidence that the population mean pH of rain water is between and O C. If repeated samples are taken, 95% of them will have a sample pH of rain water between and (c) Construct and interpret a 99% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) O A. There is a 99% probability that the true mean pH of rain water is between and O B. If repeated samples are taken, 99% of them will have a sample pH of rain water between and O C. There is 99% confidence that the population mean pH of rain water is between and (d) What happens to the interval as the level of confidence is changed? Explain why this is a logical result. As the level of confidence increases, the width of the interval V This makes sense since the

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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The following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts a) through d) below. 5.20 5.72 4.38 4.80 5.02 4.58 4.74 5.19 4.61 4.76 4.56 5.71 Click the icon to view the table of critical t-values. (a) Determine a point estimate for the population mean. A point estimate for the population mean is (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) O A. There is a 95% probability that the true mean pH of rain water is between and O B. There is 95% confidence that the population mean pH of rain water is between and O C. If repeated samples are taken, 95% of them will have a sample pH of rain water between and (c) Construct and interpret a 99% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) O A. There is a 99% probability that the true mean pH of rain water is between and O B. If repeated samples are taken, 99% of them will have a sample pH of rain water between and O C. There is 99% confidence that the population mean pH of rain water is between and (d) What happens to the interval as the level of confidence is changed? Explain why this is a logical result. As the level of confidence increases, the width of the interval This makes sense since the
Transcribed Image Text:The following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts a) through d) below. 5.20 5.72 4.38 4.80 5.02 4.58 4.74 5.19 4.61 4.76 4.56 5.71 Click the icon to view the table of critical t-values. (a) Determine a point estimate for the population mean. A point estimate for the population mean is (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) O A. There is a 95% probability that the true mean pH of rain water is between and O B. There is 95% confidence that the population mean pH of rain water is between and O C. If repeated samples are taken, 95% of them will have a sample pH of rain water between and (c) Construct and interpret a 99% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) O A. There is a 99% probability that the true mean pH of rain water is between and O B. If repeated samples are taken, 99% of them will have a sample pH of rain water between and O C. There is 99% confidence that the population mean pH of rain water is between and (d) What happens to the interval as the level of confidence is changed? Explain why this is a logical result. As the level of confidence increases, the width of the interval This makes sense since the
is 99% confidence that the population mean pH of rain water is between and pens to 1 Table of Critical t-Values of confic - 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 3.078 1.886 1.638 1.533 12.706 4.303 3.182 2.776 2.571 1 1.000 0.816 0.765 0,741 0.727 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 6.314 2.920 2.353 2.132 2.015 15.894 4.849 3.482 2.999 31.821 63.657 127.321 318.309 636.619 14.089 7453 5.598 4.773 6.965 4.541 3.747 3.365 22.327 10.215 Z173 5.893 31.599 12.924 8.610 6,869 2 9.925 5,841 4.604 4.032 5 1.476 2.757 1.134 1.119 0.718 0.906 0.711 0.896 0.706 0.889 1.108 0.703 0.700. 0.879 1.093 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 2.359 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3,690 3.581 5.208 4.785 4.501 4.297 5.959 5.408 5.041 4.781 4.587 8 9 0.883 1.100 10 4.144 1.363 1.356 0.697 0.695 0.694 0.692 0.691 2.328 2.303 2.282 2.264 3.497 3.428 3.372 4.025 3.930 3.852 0.876 1.088 0.873 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.718 3.106 11 12 13 14 15 4.437 4.318 4.221 4.140 4.073 2.681 1.083 0.870 1.079 0.868 1.076 0.866 3.055 1.350 1.345 1.341 2.650 3.012 2.624 2.602 2.977 3.326 3,286 3.787 3.733 1.074 2.131 2.249 2.947 1.337 1.333 16 17 18 19 20 0.690 0.689 0.688 0.688 0.687 2.120 2.110 2.101 2.093 2.086 2.235 2.224 2.214 2.205 2.197 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3,579 3.552 0.865 0,863 1.071 1.069 0.862 1.067 1.066 1.064 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.583 2.567 2552 2.539 2.528 2.921 2.898 2.878 2.861 2845 4.015 3.965 3.922 3.883 3.850 0,861 0,860 3.135 3.119 3.104 0.686 21 22 23 0.686 0,685 0.685 0,684 0.858 0.857 0,856 0.859 0.858 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 2.518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 24 1.318 1.316 3.091 3.078 25 3.725 1.058 1.057 1.056 1.055 1.055 1.706 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.479 2.779 3.067 3.057 3.435 3.421 3.408 3.396 3.385 3.707 26 27 28 29 30 0.684 0.684 0.683 0.683 0.683 0.856 0.855 0.855 0.854 0854 1.315 1.314 1.313 1.311 1310 1.703 1.701 1.699 1.697 2.154 2.150 2.147 2.473 2.467 2.462 2.457 2.771 2.763 2.756 2.750 3.047 3.038 3.030 3.690 3.674 3.659 3.646 31 32 33 34 35 0.682 0.682 0.682 0.682 0.682 0.853 1.054 0,853 1.054 0.853 1.053 0,852 1.052 0.852 1.052 1.309 1.309 1.308 1.307 1.306 1.696 1.694 1.692 1.691 1.690 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 2.453 2.449 2.445 2.441 2.438 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.375 3.365 3.356 3.348 3.340 3.633 3.622 3.611 3.601 3.591 et your 3.002 2.996 1.688 1.687 1.686 1.685 1.684 2.028 2.026 2.024 2.023 2.021 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.319 3.313 3.307 36 0.852 0.851 1.052 1.051 1.051 1.050 1.050 1.306 1.305 1.304 1.304 1.303 2.131 2.129 2.127 2.125 2.123 2.434 2.431 2.429 2.426 2.423 2.719 2.715 2.712 2.708 2.704 3.582 3.574 3.566 3.558 3.551 0,681 37 38 39 0.681 0.681 0.851 0.681 0,851 40 0.681 0.851 2.009 2.000 1.994 1.990 1.987 3,261 1.047 1.045 1.044 1.043 1.042 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 1.662 2.937 2.915 2,800 2.887 2.878 0.849 50 60 70 80 2.678 2.660 2.648 2.639 2.632 3.496 3.460 3.435 3.416 3.402 0.679 2.109 2.099 2.003 2.088 2.084 2.403 2.390 2.381 2.374 2.368 0.679 0.848 0.678 0.847 0.678 0.846 0.677 3.232 3.211 3.195 3.183 90 0.846 100 1000 0.677 0.675 0.674 0.845 0.842 0.842 1.042 1.037 1.036 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 2.081 2.056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 2.871 2.813 2.807 3.174 3.098 3.090 3.390 3.300 3.291 1.960 Degrees of 0.25 Freedom 0.20 0.15 0.10 0.05 0.025 0,02 0.01 0.005 0.0025 0.001 0.0005 t-Distribution Area in Right Tail
Transcribed Image Text:is 99% confidence that the population mean pH of rain water is between and pens to 1 Table of Critical t-Values of confic - 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 3.078 1.886 1.638 1.533 12.706 4.303 3.182 2.776 2.571 1 1.000 0.816 0.765 0,741 0.727 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 6.314 2.920 2.353 2.132 2.015 15.894 4.849 3.482 2.999 31.821 63.657 127.321 318.309 636.619 14.089 7453 5.598 4.773 6.965 4.541 3.747 3.365 22.327 10.215 Z173 5.893 31.599 12.924 8.610 6,869 2 9.925 5,841 4.604 4.032 5 1.476 2.757 1.134 1.119 0.718 0.906 0.711 0.896 0.706 0.889 1.108 0.703 0.700. 0.879 1.093 1.440 1.415 1.397 1.383 1.372 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 2.359 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3,690 3.581 5.208 4.785 4.501 4.297 5.959 5.408 5.041 4.781 4.587 8 9 0.883 1.100 10 4.144 1.363 1.356 0.697 0.695 0.694 0.692 0.691 2.328 2.303 2.282 2.264 3.497 3.428 3.372 4.025 3.930 3.852 0.876 1.088 0.873 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.718 3.106 11 12 13 14 15 4.437 4.318 4.221 4.140 4.073 2.681 1.083 0.870 1.079 0.868 1.076 0.866 3.055 1.350 1.345 1.341 2.650 3.012 2.624 2.602 2.977 3.326 3,286 3.787 3.733 1.074 2.131 2.249 2.947 1.337 1.333 16 17 18 19 20 0.690 0.689 0.688 0.688 0.687 2.120 2.110 2.101 2.093 2.086 2.235 2.224 2.214 2.205 2.197 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3,579 3.552 0.865 0,863 1.071 1.069 0.862 1.067 1.066 1.064 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.583 2.567 2552 2.539 2.528 2.921 2.898 2.878 2.861 2845 4.015 3.965 3.922 3.883 3.850 0,861 0,860 3.135 3.119 3.104 0.686 21 22 23 0.686 0,685 0.685 0,684 0.858 0.857 0,856 0.859 0.858 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 2.518 2.508 2.500 2.492 2.485 2.831 2.819 2.807 2.797 2.787 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 24 1.318 1.316 3.091 3.078 25 3.725 1.058 1.057 1.056 1.055 1.055 1.706 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.479 2.779 3.067 3.057 3.435 3.421 3.408 3.396 3.385 3.707 26 27 28 29 30 0.684 0.684 0.683 0.683 0.683 0.856 0.855 0.855 0.854 0854 1.315 1.314 1.313 1.311 1310 1.703 1.701 1.699 1.697 2.154 2.150 2.147 2.473 2.467 2.462 2.457 2.771 2.763 2.756 2.750 3.047 3.038 3.030 3.690 3.674 3.659 3.646 31 32 33 34 35 0.682 0.682 0.682 0.682 0.682 0.853 1.054 0,853 1.054 0.853 1.053 0,852 1.052 0.852 1.052 1.309 1.309 1.308 1.307 1.306 1.696 1.694 1.692 1.691 1.690 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 2.453 2.449 2.445 2.441 2.438 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.375 3.365 3.356 3.348 3.340 3.633 3.622 3.611 3.601 3.591 et your 3.002 2.996 1.688 1.687 1.686 1.685 1.684 2.028 2.026 2.024 2.023 2.021 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.319 3.313 3.307 36 0.852 0.851 1.052 1.051 1.051 1.050 1.050 1.306 1.305 1.304 1.304 1.303 2.131 2.129 2.127 2.125 2.123 2.434 2.431 2.429 2.426 2.423 2.719 2.715 2.712 2.708 2.704 3.582 3.574 3.566 3.558 3.551 0,681 37 38 39 0.681 0.681 0.851 0.681 0,851 40 0.681 0.851 2.009 2.000 1.994 1.990 1.987 3,261 1.047 1.045 1.044 1.043 1.042 1.299 1.296 1.294 1.292 1.291 1.676 1.671 1.667 1.664 1.662 2.937 2.915 2,800 2.887 2.878 0.849 50 60 70 80 2.678 2.660 2.648 2.639 2.632 3.496 3.460 3.435 3.416 3.402 0.679 2.109 2.099 2.003 2.088 2.084 2.403 2.390 2.381 2.374 2.368 0.679 0.848 0.678 0.847 0.678 0.846 0.677 3.232 3.211 3.195 3.183 90 0.846 100 1000 0.677 0.675 0.674 0.845 0.842 0.842 1.042 1.037 1.036 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 2.081 2.056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 2.871 2.813 2.807 3.174 3.098 3.090 3.390 3.300 3.291 1.960 Degrees of 0.25 Freedom 0.20 0.15 0.10 0.05 0.025 0,02 0.01 0.005 0.0025 0.001 0.0005 t-Distribution Area in Right Tail
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