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(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 decreases. This makes sense since the

(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 decreases. 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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Part D
Question Help 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 4.94 (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 4.68 and 5.24 O B. There is 95% confidence that the population mean pH of rain water is between and 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 4.59 and 5.28 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 decreases. This makes sense since the
Transcribed Image Text:Question Help 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 4.94 (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 4.68 and 5.24 O B. There is 95% confidence that the population mean pH of rain water is between and 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 4.59 and 5.28 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 decreases. This makes sense since the
is 99% confidence that the population mean pH of rain water is between and. bens to Table of Critical t-Values i confic - Area in right tail -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 1.963 1.386 0.765 0.978 1.250 31.821 63.657 6.965 318.300 636.619 31.599 12.924 1.376 3.078 6.314 2.920 12.706 4.303 15.804 127.32 1 9925 14.080 22.327 7453 10.215 Z173 5,893 1.000 0816 1.061 1886 1.638 1.533 1.476 4.849 2.353 3.182 3.482 4.541 3.747 3.365 5.841 4.604 4.032 0.941 1.190 8,610 6,869 2.132 0.741 0.727 2.776 2.571 2.999 2.757 4.773 0.920 1.156 2.015 0718 n 06 1.13A 1440 5208 5 950 1.943 1.895 2.612 3.143 3.707 4317 0,806 1.119 1415 4.785 3.833 4.501 3.690 0.711 2.517 2.998 2.449 2.896 2.398 2.821 2.359 2.764 3.499 3.355 3.250 3.169 4.029 0.706 0,889 1.106 0.703 0 700 1.397 1.860 1.833 1.812 5.408 5,041 4.781 0,883 1.100 0.879 1.093 1.383 4.297 1372 3.581 4.144 4.587 0.697 0 695 0.876 1363 1.796 2.328 2718 2.303 2,681 2,282 2.650 2.264 4.025 3.428 3.930 3.372 3852 3.326 1.088 3.497 4.437 0873 1.083 1356 1.782 2.179 2.160 2.145 2.131 4318 0870 107o 1.350 1.771 4.221 0,694 0.692 0.691 0.868 1.076 1.345 2.624 3.787 4.140 1.761 1.753 0.866 1.074 1.341 2.249 2.602 3.286 3.733 4.073 0865 1071 1337 1.746 2 583 2.120 2.110 2.101 2.093 2.086 2,235 2.224 2.214 2,205 2.197 3252 3686s 4015 1333 1320 0863 1060 1.740 2.567 2.552 3.222 3.646 3.965 3.922 3,883 3,850 0.689 0.688 0.862 0,861 1067 1.734 3.197 3.610 3.174 3.579 3.153 1328 2530 0.68 0.68 2.861 2845 1.066 1.729 1.725 0.860 1.064 132 2.528 3.552 1063 1223 1.721 1.717 1.714 1.711 1.208 2.189 2.183 2.518 2.508 0686 0.850 2831 3.527 2.080 2.074 3.135 3.119 3.505 3.104 3485 3.091 3819 0 686 2819 3 702 0,858 0858 1.061 1.060 1.059 1.058 1321 3.768 3.745 3.725 0,685 1.319 1.318 1316 2.807 2.797 2.787 2.069 2.177 0.685 0,857 0,856 3,467 0.68 2060 3.078 3.450 1319 1. 206 3067 068 0856 1058 2.056 2.162 2779 3435 3707 0.855 0,855 0.854 1057 1314 1.703 2.771 2763 2756 2.750 3.057 3.047 3421 3.408 3.690 3,674 3.650 0.684 0,68 1.056 1313 1.701 2.048 2.154 0.683 1055 1.311 1310 1.699 2.045 2.042 3.038 3.306 2.150 2.147 0.68 0,854 1.055 1,697 3.030 3.385 3.646 1.054 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 0.68 3633 0,853 0,853 0853 0,852 0.852 1300 1.696 2744 3.022 2738 2733 3.375 3.365 3.356 0.68 0.682 0 68 0.682 1.054 1.053 1.052 1.052 1.309 1.308 1.694 1.692 3.015 3.008 3.002 2.996 3622 3611 t your 1307 1.691 3348 3601 1.306 1.690 2.724 3.340 3 501 0.681 0852 1052 1306 2.028 3 582 2.131 2.129 2.719 2.715 1.688 2.900 3323 1.051 3.574 0,851 0851 0851 1.05o 1.30 1.687 2.985 3.326 0.68 0 68 5024 2023 2021 5 076 131a 2.971 3307 2 937 1304 16 5125 2123 1 558 0,681 0,851 1.050 1.303 1.684 2.704 3.551 120 1299 167 2000 2.678 1261 1904 2.660 5 800 2 5 887 3 19S 2.878 3.183 1043 0,67 0.846 1.042 1291 1.662 1.987 2.084 2.368 2.632 3.402 2.081 2.364 100 0.677 0.845 1.042 1290 1.660 2624 2.626 2.871 3.174 3.390 1984 1960 1282 2.613 3.291 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 -2345 6789n =pBHs 奶奶搭妙功 a2基斗基 加幻为列 到卫基科 新打那列部动3R元3
Transcribed Image Text:is 99% confidence that the population mean pH of rain water is between and. bens to Table of Critical t-Values i confic - Area in right tail -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 1.963 1.386 0.765 0.978 1.250 31.821 63.657 6.965 318.300 636.619 31.599 12.924 1.376 3.078 6.314 2.920 12.706 4.303 15.804 127.32 1 9925 14.080 22.327 7453 10.215 Z173 5,893 1.000 0816 1.061 1886 1.638 1.533 1.476 4.849 2.353 3.182 3.482 4.541 3.747 3.365 5.841 4.604 4.032 0.941 1.190 8,610 6,869 2.132 0.741 0.727 2.776 2.571 2.999 2.757 4.773 0.920 1.156 2.015 0718 n 06 1.13A 1440 5208 5 950 1.943 1.895 2.612 3.143 3.707 4317 0,806 1.119 1415 4.785 3.833 4.501 3.690 0.711 2.517 2.998 2.449 2.896 2.398 2.821 2.359 2.764 3.499 3.355 3.250 3.169 4.029 0.706 0,889 1.106 0.703 0 700 1.397 1.860 1.833 1.812 5.408 5,041 4.781 0,883 1.100 0.879 1.093 1.383 4.297 1372 3.581 4.144 4.587 0.697 0 695 0.876 1363 1.796 2.328 2718 2.303 2,681 2,282 2.650 2.264 4.025 3.428 3.930 3.372 3852 3.326 1.088 3.497 4.437 0873 1.083 1356 1.782 2.179 2.160 2.145 2.131 4318 0870 107o 1.350 1.771 4.221 0,694 0.692 0.691 0.868 1.076 1.345 2.624 3.787 4.140 1.761 1.753 0.866 1.074 1.341 2.249 2.602 3.286 3.733 4.073 0865 1071 1337 1.746 2 583 2.120 2.110 2.101 2.093 2.086 2,235 2.224 2.214 2,205 2.197 3252 3686s 4015 1333 1320 0863 1060 1.740 2.567 2.552 3.222 3.646 3.965 3.922 3,883 3,850 0.689 0.688 0.862 0,861 1067 1.734 3.197 3.610 3.174 3.579 3.153 1328 2530 0.68 0.68 2.861 2845 1.066 1.729 1.725 0.860 1.064 132 2.528 3.552 1063 1223 1.721 1.717 1.714 1.711 1.208 2.189 2.183 2.518 2.508 0686 0.850 2831 3.527 2.080 2.074 3.135 3.119 3.505 3.104 3485 3.091 3819 0 686 2819 3 702 0,858 0858 1.061 1.060 1.059 1.058 1321 3.768 3.745 3.725 0,685 1.319 1.318 1316 2.807 2.797 2.787 2.069 2.177 0.685 0,857 0,856 3,467 0.68 2060 3.078 3.450 1319 1. 206 3067 068 0856 1058 2.056 2.162 2779 3435 3707 0.855 0,855 0.854 1057 1314 1.703 2.771 2763 2756 2.750 3.057 3.047 3421 3.408 3.690 3,674 3.650 0.684 0,68 1.056 1313 1.701 2.048 2.154 0.683 1055 1.311 1310 1.699 2.045 2.042 3.038 3.306 2.150 2.147 0.68 0,854 1.055 1,697 3.030 3.385 3.646 1.054 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 0.68 3633 0,853 0,853 0853 0,852 0.852 1300 1.696 2744 3.022 2738 2733 3.375 3.365 3.356 0.68 0.682 0 68 0.682 1.054 1.053 1.052 1.052 1.309 1.308 1.694 1.692 3.015 3.008 3.002 2.996 3622 3611 t your 1307 1.691 3348 3601 1.306 1.690 2.724 3.340 3 501 0.681 0852 1052 1306 2.028 3 582 2.131 2.129 2.719 2.715 1.688 2.900 3323 1.051 3.574 0,851 0851 0851 1.05o 1.30 1.687 2.985 3.326 0.68 0 68 5024 2023 2021 5 076 131a 2.971 3307 2 937 1304 16 5125 2123 1 558 0,681 0,851 1.050 1.303 1.684 2.704 3.551 120 1299 167 2000 2.678 1261 1904 2.660 5 800 2 5 887 3 19S 2.878 3.183 1043 0,67 0.846 1.042 1291 1.662 1.987 2.084 2.368 2.632 3.402 2.081 2.364 100 0.677 0.845 1.042 1290 1.660 2624 2.626 2.871 3.174 3.390 1984 1960 1282 2.613 3.291 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 -2345 6789n =pBHs 奶奶搭妙功 a2基斗基 加幻为列 到卫基科 新打那列部动3R元3
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