Homework:Section 9.2 - Estimating a Population MeanSave

(a) Determine a point estimate for the population mean. A point estimate for the population mean is 5.04 (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 B. There is 95% confidence that the population mean ph of rain water is between 4.79 and 5.30 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.) A. There is 99% confidence that the population mean ph of rain water is between 4.69 and 5.40 . B. There is a 99% probability that the true mean pH of rain water is between and C. If repeated samples are taken. 99% of them will have a sample pH of rain water between and4.80 5.72 4.99 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 5.30 5.19 5.0 4.58 4.74 that is normally distributed. A boxplot indicates there are no outliers. Complete parts a) through d) below. 4.56 5.71 4.87 4.76 #Click the icon to view the table of critical t-values.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 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.32 1 318.309 636.619 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 31.599 AWINE 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.215 12.924 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 7173 8.610 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.869 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.959 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.020 4,785 5.408 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.781 10 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437 12 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 3.930 4.318 13 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221 14 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 16 0.690 0.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 17 0.689 0.863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 18 0.688 0.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.610 3.922 19 0.688 0.861 1.066 1.328 1.720 2.093 2.205 2.539 2.861 3.174 3.579 3.883 20 0.687 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850 21 0.686 0.859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3,135 3.527 3.819 22 0.686 0.858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 23 3.792 0.685 0.858 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768 24 0.685 0.857 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 25 3.745 0.684 0.856 1.058 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725 26 0.684 0.856 1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707 27 0.684 0.855 1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690 28 0.683 0.855 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674 20 0.683 0.854 1.055 1.311 1.690 2.045 2.150 2.462 2.756 3.038 3.306 3.659The dala shown below represent the repair cost for a low-impact collision in a simple random sample of mini and micro-vehicles Complete parts (a) through (d) below, $3148 $1089 $743 $663 $7?3 $1758 $3345 $2083 $2683 $1369 Click hereto View the table of critical tivalues Click here to View page 1 of the standard normal distribution table. Click hereto View page 2 of the standard normal distribution table, (c) Construct and interpret a 95% confidence interval for population mean cost of repair. Select the correct choice and fill in the answer boxes to complete your choice. (Round to one decimal place as needed.) O A. The lower bound is $ and the upper bound is $ We are 95% confident that the mean cost of repair is within the confidence interval. O B. The lower bound is $ and the upper bound is $ . We are 95% confident that the mean cost of repair is outside of the confidence interval.The data below represent the length (in miles) eta random sample oltornadoes in a specic area. This length represents the number of miles a particular tornado was on the ground. Use the data to com a Click the icon to view the table of tornado lengths. (a) Draw a histogram of the data and comment on the shape. Choose the c ' A. a 0.6 c :3, 9x 2 0.4 w IZ' g 0.2 E o 0 6 12 1B 24 Length (in miles) Comment on the shape of the histogram. Choose the correct answer below A. The histogram is symmetric and belleshaped. ' B. The histogram is uniform. -"C. The histogram is skewed right. D. The histogram IS skewed left. 0 Table of cell phone bills Tornado Length (in miles) 0.53 2 50 0.10 4.53 6 09 0.63 0 51 8 24 213 19.99 5 76 5.37 22 52 0 72 1 01 1.96 6 70 0.34 0 20 0 02 0 43 7.15 1 69 0.50 14 66 019 011 14.23 011 5.04 0 93 0 73 2 43 4.10 0 26 1.24 6 76 0 75 5 71 4.72 1 68 0.47 5.91 3 43 1.11 1 26 9 03 0 53 9.66 O 37 1.04 1 92 010 0 20 9.43 O 43 1.12 814 O 11 3 53 .- C. a 0.6 c :3, 9x 2 0.4 w I3" g 0.2 E u 0 3 6 9 1215 Length (in miles) (d) Use statistical software to construct a 99% confidence interval for the mean tornado length. 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 99% probability that the true mean length of a tornado is between miles and miles. O B. We are 99% confident that the population mean length of a tornado is between miles and miles. O C. If repeated samples are taken, 99% of them will have a sample mean between miles and miles