The following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the
Posted: Thu May 05, 2022 7:47 pm
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 5.24 4.80 5.02 4.60 4.74 5.19 4.61 4.76 4.56 5.69 Click the icon to view the table of critical t-values. GEITH (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.) A. There is a 95% probability that the true mean pH of rain water is between and and B. If repeated samples are taken, 95% of them will have a sample pH of rain water between C. There is 95% confidence that the population mean pH of rain water is 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.) and A. If repeated samples are taken, 99% of them will have a sample pH of rain water between AAN D
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. 5.72 5.24 4.80 4.60 4.74 5.19 4.76 4.56 5,69 Click the icon to view the table of critical t-values. Cerra (Use ascung orue. Rounu 10 w uma piaces as OA. There is a 95% probability that the true mean pH of rain water is between and OB. If repeated samples are taken, 95% of them will have a sample pH of rain water between and OC. There is 95% confidence that the population mean pH of rain water is 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.) OA. If repeated samples are taken, 99% of them will have a sample pH of rain water between and and OB. There is a 99% probability that the true mean pH of rain water is between OC. 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 5.20 5.02 4.61
a 10 t Table of Critical t-Values Area in -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 31.821 63.657 127321 318.309 636.619 6.965 9.925 14.089 22.327 31.599 4.541 5.841 7453 10.215 12.924 3.747 4.604 5.598 3.365 4.032 7173 8.610 4.773 5.893 1.000 1.376 1.963 3.078 6.314 12.706 15.894 0.816 1.061 1.386 1886 2.920 4.303 4.849 0.765 0.978 1.250 1.638 2.353 3.182 3.482 0.741 0.941 1.190 1.533 2.132 2.776 2.999 0.727 0.920 1.156 1476 2015 2.571 2.757 0.718 0.906 1.134 1440 1.943 2:447 2.612 0.711 0.896 1.415 1.119 1.895 2.365 2.517 2.998 3.499 4.029 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 0.879 1.812 2.228 2.359 2.764 3.169 6.869 3.143 3.707 4.317 5.208 5.959 4.785 5.408 4.501 5.041 4.297 4.781 0.700 1.093 1.372 3.581 4.144 4.587 0.697 1088 1.363 1.796 2.201 2.328 3.497 2718 3.106 0.876 0.873 1083 0.695 4.025 4.437 1.356 1.782 2.179 2.303 2.681 3.055 3,428 3.930 4.318 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3,012 3.372 3.852 4.221 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 0.691 0.866 1.341 1.074 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 0.690 0.865 1.071 1337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 0.689 0.863 1069 1.333 1.740 2.110 2.224 2.567 2.896 3.222 3.646 3.965 0.688 0.862 1067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.610 3.922 0.861 0.688 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 0.687 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2845 3.153 3.552 3.850 1234567 SHABAN SESEA 10 11 12 13 14 15 16 17 18 19 20 0 - X br le
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. 5.72 5.24 4.80 4.60 4.74 5.19 4.76 4.56 5,69 Click the icon to view the table of critical t-values. Cerra (Use ascung orue. Rounu 10 w uma piaces as OA. There is a 95% probability that the true mean pH of rain water is between and OB. If repeated samples are taken, 95% of them will have a sample pH of rain water between and OC. There is 95% confidence that the population mean pH of rain water is 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.) OA. If repeated samples are taken, 99% of them will have a sample pH of rain water between and and OB. There is a 99% probability that the true mean pH of rain water is between OC. 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 5.20 5.02 4.61
a 10 t Table of Critical t-Values Area in -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 31.821 63.657 127321 318.309 636.619 6.965 9.925 14.089 22.327 31.599 4.541 5.841 7453 10.215 12.924 3.747 4.604 5.598 3.365 4.032 7173 8.610 4.773 5.893 1.000 1.376 1.963 3.078 6.314 12.706 15.894 0.816 1.061 1.386 1886 2.920 4.303 4.849 0.765 0.978 1.250 1.638 2.353 3.182 3.482 0.741 0.941 1.190 1.533 2.132 2.776 2.999 0.727 0.920 1.156 1476 2015 2.571 2.757 0.718 0.906 1.134 1440 1.943 2:447 2.612 0.711 0.896 1.415 1.119 1.895 2.365 2.517 2.998 3.499 4.029 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 0.879 1.812 2.228 2.359 2.764 3.169 6.869 3.143 3.707 4.317 5.208 5.959 4.785 5.408 4.501 5.041 4.297 4.781 0.700 1.093 1.372 3.581 4.144 4.587 0.697 1088 1.363 1.796 2.201 2.328 3.497 2718 3.106 0.876 0.873 1083 0.695 4.025 4.437 1.356 1.782 2.179 2.303 2.681 3.055 3,428 3.930 4.318 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3,012 3.372 3.852 4.221 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 0.691 0.866 1.341 1.074 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 0.690 0.865 1.071 1337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 0.689 0.863 1069 1.333 1.740 2.110 2.224 2.567 2.896 3.222 3.646 3.965 0.688 0.862 1067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.610 3.922 0.861 0.688 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 0.687 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2845 3.153 3.552 3.850 1234567 SHABAN SESEA 10 11 12 13 14 15 16 17 18 19 20 0 - X br le