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...


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<br>population that is normally distributed. A boxplot indicates there are no outliers. Complete parts a) through d) below.<br>5.05<br>5.72<br>4.62<br>4.80<br>5.02<br>4.59<br>4.74<br>5.19<br>5.29<br>4.76<br>4.56<br>5.71<br>Click the icon to view the table of critical t-values.<br>(a) Determine a point estimate for the population mean.<br>A point estimate for the population mean is 5.00<br>(Round to two decimal places as needed.)<br>(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.<br>(Use ascending order. Round to two decimal places as needed.)<br>A. If repeated samples are taken, 95% of them will have a sample pH of rain water between<br>and<br>B. There is 95% confidence that the population mean pH of rain water is between 4.74 and 5.26.<br>C. There is a 95% probability that the true mean pH of rain water is between<br>and<br>(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.<br>(Use ascending order. Round to two decimal places as needed.)<br>A. If repeated samples are taken, 99% of them will have a sample pH of rain water between<br>and<br>B. There is 99% confidence that the population mean pH of rain water is between 4.64 and 5.36 .<br>C. There is a 99% probability that the true mean pH of rain water is between<br>and<br>(d) What happens to the interval as the level of confidence is changed? Explain why this is a logical result.<br>As the level of confidence increases, the width of the interval<br>This makes sense since the<br>margin of error<br>sample size<br>Click to select your answer(s) and then click Check Answer.<br>point estimate<br>

Extracted 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. 5.05 5.72 4.62 4.80 5.02 4.59 4.74 5.19 5.29 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 5.00 (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. If repeated samples are taken, 95% of them will have a sample pH of rain water between and B. There is 95% confidence that the population mean pH of rain water is between 4.74 and 5.26. C. There is a 95% probability that the true 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.) A. If repeated samples are taken, 99% of them will have a sample pH of rain water between and B. There is 99% confidence that the population mean pH of rain water is between 4.64 and 5.36 . C. There is a 99% probability that the true 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 margin of error sample size Click to select your answer(s) and then click Check Answer. point estimate
Table of Critical t-Values<br>Area in<br>right tail<br>t-Distribution<br>Area in Right Tail<br>Degrees of<br>Freedom<br>0.25<br>0.20<br>0.15<br>0.10<br>0.05<br>0.025<br>0.02<br>0.01<br>0.005 0.0025<br>0.001 0.0005<br>1.376<br>1.061<br>0.978<br>0.941<br>0.920<br>12.706<br>4.303<br>3.182<br>2.776<br>2.571<br>63.657<br>9.925<br>5.841<br>4.604<br>4.032<br>127.32 1<br>14.089<br>7.453<br>1<br>1.000<br>0.816<br>0.765<br>1.963<br>1.386<br>1.250<br>3.078<br>1.886<br>1.638<br>1.533<br>1.476<br>6.314<br>2.920<br>2.353<br>2.132<br>2.015<br>15.894<br>4.849<br>3.482<br>2.999<br>2.757<br>31.821<br>6.965<br>318.309 636.619<br>22.327<br>10.215<br>7173<br>5.893<br>31.599<br>12.924<br>8.610<br>6.869<br>3<br>4<br>4.541<br>3.747<br>0.741<br>0.727<br>1.190<br>1.156<br>5.598<br>4.773<br>3.365<br>0.906<br>1.943<br>1.895<br>1.860<br>1.833<br>1.812<br>2.447<br>2.365<br>2.306<br>2.262<br>2.228<br>3.143<br>2.998<br>2.896<br>2.821<br>2.764<br>3.707<br>3.499<br>3.355<br>3.250<br>3.169<br>5.959<br>5.408<br>5.041<br>1.134<br>0.718<br>0.711<br>0.706<br>0.703<br>0.700<br>1.440<br>1.415<br>1.397<br>5.208<br>4.785<br>4.501<br>4.297<br>2.612<br>2.517<br>4.317<br>4.029<br>3.833<br>3.690<br>3.581<br>7<br>8<br>0.896<br>0.889<br>0.883<br>0.879<br>1.119<br>1.108<br>1.100<br>1.093<br>2.449<br>2.398<br>2.359<br>1.383<br>4.781<br>4.587<br>10<br>1.372<br>4.144<br>0.876<br>0.873<br>0.870<br>0.868<br>0.866<br>1.363<br>1.356<br>1.350<br>1.345<br>0.697<br>0.695<br>2.201<br>2.179<br>2.160<br>2.328<br>11<br>12<br>13<br>14<br>15<br>0.694<br>0.692<br>0.691<br>1.088<br>1.083<br>1.079<br>1.076<br>1.074<br>1.796<br>1.782<br>1.771<br>1.761<br>2.303<br>2.282<br>2.264<br>2.249<br>2.718<br>2.681<br>2.650<br>2.624<br>2.602<br>3.106<br>3.055<br>3.012<br>2.977<br>2.947<br>3.497<br>3.428<br>3.372<br>3.326<br>3.286<br>4.025<br>3.930<br>3.852<br>3.787<br>3.733<br>4.437<br>4.318<br>4.221<br>4.140<br>4.073<br>2.145<br>2.131<br>1.341<br>1.753<br>0.690<br>0.689<br>0.688<br>0.688<br>0.687<br>0.865<br>0.863<br>0.862<br>0.861<br>0.860<br>2.583<br>2.567<br>2.552<br>2.539<br>2.528<br>3.686<br>3.646<br>3.610<br>1.071<br>2.235<br>2.224<br>2.214<br>2.205<br>2.197<br>2.921<br>3.252<br>16<br>17<br>18<br>19<br>20<br>1.069<br>1.067<br>1.066<br>1.064<br>1.337<br>1.333<br>1.330<br>1.328<br>1.325<br>1.746<br>1.740<br>1.734<br>2.120<br>2.110<br>2.101<br>2.093<br>2.086<br>2.898<br>2.878<br>2.861<br>2.845<br>3.222<br>3.197<br>3.174<br>3.153<br>4.015<br>3.965<br>3.922<br>3.883<br>3.850<br>1.729<br>1.725<br>3.579<br>3.552<br>0.686<br>0.686<br>0.685<br>0.685<br>0.684<br>2.831<br>2.819<br>2.807<br>2.797<br>1.063<br>1.061<br>2.080<br>2.074<br>21<br>22<br>23<br>24<br>25<br>0.859<br>0.858<br>0.858<br>0.857<br>0.856<br>1.323<br>1.321<br>1.319<br>1.318<br>1.316<br>2.189<br>2.183<br>2.177<br>2.172<br>2.167<br>2.518<br>2.508<br>2.500<br>2.492<br>2.485<br>1.721<br>3.135<br>3.119<br>3.104<br>3.091<br>3.078<br>3.527<br>3.505<br>3.485<br>3.467<br>3.450<br>3.819<br>3.792<br>3.768<br>3.745<br>3.725<br>1.717<br>1.060<br>1.059<br>1.058<br>1.714<br>1.711<br>1.708<br>2.069<br>2.064<br>2.060<br>2.787<br>26<br>27<br>28<br>0.684<br>0.684<br>0.683<br>0.856<br>0.855<br>0.855<br>1.058<br>1.057<br>1.056<br>1.315<br>1.314<br>1.313<br>1.706<br>1.703<br>2.056<br>2.052<br>2.048<br>2.162<br>2.158<br>2.154<br>2.479<br>2.473<br>2.467<br>2.779<br>2.771<br>2.763<br>3.067<br>3.057<br>3.435<br>3.421<br>3.707<br>3.690<br>3.674<br>1.701<br>3.047<br>3.408<br>

Extracted text: Table of Critical t-Values 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 1.376 1.061 0.978 0.941 0.920 12.706 4.303 3.182 2.776 2.571 63.657 9.925 5.841 4.604 4.032 127.32 1 14.089 7.453 1 1.000 0.816 0.765 1.963 1.386 1.250 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 15.894 4.849 3.482 2.999 2.757 31.821 6.965 318.309 636.619 22.327 10.215 7173 5.893 31.599 12.924 8.610 6.869 3 4 4.541 3.747 0.741 0.727 1.190 1.156 5.598 4.773 3.365 0.906 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 5.959 5.408 5.041 1.134 0.718 0.711 0.706 0.703 0.700 1.440 1.415 1.397 5.208 4.785 4.501 4.297 2.612 2.517 4.317 4.029 3.833 3.690 3.581 7 8 0.896 0.889 0.883 0.879 1.119 1.108 1.100 1.093 2.449 2.398 2.359 1.383 4.781 4.587 10 1.372 4.144 0.876 0.873 0.870 0.868 0.866 1.363 1.356 1.350 1.345 0.697 0.695 2.201 2.179 2.160 2.328 11 12 13 14 15 0.694 0.692 0.691 1.088 1.083 1.079 1.076 1.074 1.796 1.782 1.771 1.761 2.303 2.282 2.264 2.249 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 2.947 3.497 3.428 3.372 3.326 3.286 4.025 3.930 3.852 3.787 3.733 4.437 4.318 4.221 4.140 4.073 2.145 2.131 1.341 1.753 0.690 0.689 0.688 0.688 0.687 0.865 0.863 0.862 0.861 0.860 2.583 2.567 2.552 2.539 2.528 3.686 3.646 3.610 1.071 2.235 2.224 2.214 2.205 2.197 2.921 3.252 16 17 18 19 20 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 2.120 2.110 2.101 2.093 2.086 2.898 2.878 2.861 2.845 3.222 3.197 3.174 3.153 4.015 3.965 3.922 3.883 3.850 1.729 1.725 3.579 3.552 0.686 0.686 0.685 0.685 0.684 2.831 2.819 2.807 2.797 1.063 1.061 2.080 2.074 21 22 23 24 25 0.859 0.858 0.858 0.857 0.856 1.323 1.321 1.319 1.318 1.316 2.189 2.183 2.177 2.172 2.167 2.518 2.508 2.500 2.492 2.485 1.721 3.135 3.119 3.104 3.091 3.078 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 1.717 1.060 1.059 1.058 1.714 1.711 1.708 2.069 2.064 2.060 2.787 26 27 28 0.684 0.684 0.683 0.856 0.855 0.855 1.058 1.057 1.056 1.315 1.314 1.313 1.706 1.703 2.056 2.052 2.048 2.162 2.158 2.154 2.479 2.473 2.467 2.779 2.771 2.763 3.067 3.057 3.435 3.421 3.707 3.690 3.674 1.701 3.047 3.408
Jun 02, 2022
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