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 4.89 4.80 5.02 4.58 4.74 5.19 5.34 4.76 4.56 5.69 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 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.) 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 andArea in right tail f-Distribution Area in Right Tail Degrees of Freedom 0.25 0.20 0.15 0.10 105 0.025 0101 0.005 0.0025 0.001 0.0005 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31 821 63.657 127.321 318.309 636.619 0.816 1.061 1.386 1.88 2.920 4.303 4.849 6.965 9.925 14.089 22.327 31.599 0.765 0.978 1.250 1.638 2353 3.182 3.482 4.541 5.841 7453 10.215 12.924 0.741 0.941 1.190 1.533 2.132 2.776 2.909 3.747 4.604 5.598 7173 8.610 0.727 0.920 1.156 1.476 2.015 2.571 2.75 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 3.490 4.020 4.785 5.408 D.706 0.889 1.108 1.397 1.860 2.306 2.445 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 4.207 4.781 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 0.697 0.876 1.088 1.363 1.79 2.201 2.328 2.718 3.106 3.497 4.025 4.43 0.695 0.873 1.083 1.356 TRL'T 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 1.34 1.761 2.145 2.264 2.624 2.97 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 0.690 0.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 D.689 0.863 1.069 1.333 2.224 2.567 2.898 3.222 3.646 3.965 0.688 0,862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.610 3.922 0.685 0,861 1.066 1.328 1,729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 20 0.687 0.860 1.064 1.32 1.725 2.086 2.197 2 528 2.845 3.153 3.552 3.850 0.686 0.859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.810 0.686 0.858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 3,792 D.685 0.858 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768 0.685 0.857 1.059 1.318 1.711 2.064 2.172 2.492 2.707 3.091 3.467 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 0.684 0.856 1.058 1.315 1.706 2.056 2.162 2.470 2.779 3.067 3.435 3,707 0.684 0.855 1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690 0.683 0.855 1.056 1.313 1.70 2.048 2.154 2.467 2.763 3.04 3.406 3.674 29 0.683 0.854 1.055 1.311 1.609 2.045 2.150 2462 2.756 3.038 3,305 3.659 30 0.683 0.854 1.055 1.310 1.69 2.042 2.147 2.457 2750 3.030 3.385 3.646 31 0.682 0.853 1.054 1.309 1.60 2.040 2.144 2.453 2744 3.022 3.375 3.633 32 0.682 0.853 1.054 1.30 1.60 2.037 2.141 2.449 2.738 3.015 3.365 3.62 33 0.682 0.853 1.053 1.308 1.692 2.035 2.138 2.445 2.733 3.008 3.356 3,611 34 0.682 0.852 1.052 1307 1.69 2.032 2.441 2.728 3.002 3.348 3.601 35 0.682 0,852 1.052 1.306 1.690 2.030 2.133 2.438 2.724 2.996 3.340 3.591 36 0.681 0.852 1.052 1.306 1.688 2.028 2.131 2.434 2.719 2 990 3.333 3.582 17 0.681 0,851 1.051 1.305 1.68 2.026 2.120 2.431 2.715 2085 3.32 3.57 38 0.681 0.851 1.051 1.30 1.686 2.024 2.127 2.429 2.712 2.080 3.319 3.566 30 0.681 0.851 1.050 1.30 1685 2.023 2.125 2.426 2.708 2.076 3.313 3.558 40 0.681 0.851 1.050 1.30 1.684 2.021 2.123 2.423 2.704 2.971 3.307 3.551 50 0.679 0.849 1.047 1.209 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496 0.679 0.848 1.045 1.296 1.671 2.000 2.099 2.390 2.660 2.915 3.460 0.678 0.847 1.044 1.29 1.667 1.904 2.093 2.381 2.648 2.899 3.435 80 D.67 0.846 1.043 1.292 1.664 1.990 2.088 2.374 2.639 2.887 3.195 3.416 0.677 0.846 1.042 1.291 1.662 1.987 2.084 2.368 2.632 2.878 3.183 3.402 100 0.677 0.845 1.042 1.290 1.660 1.984 2.081 2.364 2.626 2.871 3.174 3.390 1000 0.675 0.842 1.037 1.282 1.64 1.962 2.056 2.330 2581 2.813 3.098 3.300 0.674 0.842 1.036 1.282 1.645 1.960 2.054 2 326 2.576 2.807 3.090 3.291 7 Degrees of 0.25 0.20 0.15 0.10 105 0.025 0102 0.01 0.005 0.0025 0.001 0.0005 Freedom -Distribution Area in Right Tail