Help with these from chapter 16 assignment please

Area in right tail Table VI t-Dlstrlhution Area in Right Tail 111' 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 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619 2 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 31.599 3 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.215 12.924 4 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 7.173 8.610 5 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.869 6 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.959 7 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 4.785 5.408 8 0.706 0.889 1 .113 1 .397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041 9 0.703 0.883 1 .11!) 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 1'7 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 1.9 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 U.OUZ L.UUT 19 0.688 J.D J.VIV 0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 20 0.687 3.883 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 22 0.686 0.858 3.527 3.819 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 23 0.685 3.505 0.858 3.792 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 24 0.685 3.768 0.857 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 25 3.467 0.684 3.745 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 27 0.684 0.855 3.707 1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 28 3.421 0.683 3.690 0.855 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 29 3.408 0.683 0.854 3.674 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 30 3.396 0.683 3.659 0.854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.385 3.646 31 0.682 0.853 1.054 1.309 1.696 2.040 2.144 2.453 2.744 3.022 32 3.375 3.633 0.682 0.853 1.054 1.309 1.694 2.037 2.141 2.449 2.738 3.015 33 3.365 0.682 0.853 3.622 1.053 1.308 1.692 2.035 2.138 2.445 2.733 34 3.008 0.682 3.356 3.611 0.852 1.052 1.307 1.691 2.032 2.136 2.441 2.728 3.002 35 0.682 3.348 3.601 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 37 0.681 0.851 3.582 1.051 1.305 1.687 2.026 2.129 2.431 2.715 2.985 38 0.681 0.851 3.326 3.574 1.051 1.304 1.686 2.024 2.127 2.429 2.712 2.980 3.319 39 0.681 0.851 3.566 1.050 1.304 1.685 2.023 2.125 2.426 2.708 2.976 3.313 40 0.681 0.851 3.558 1.050 1.303 1.684 2.021 2.123 2.423 2.704 2.971 3.307 3.551 50 0.679 0.849 1.047 1.299 1.676 2.009 2.109 2.403 2.678 2.937 3.261 60 0.679 0.848 3.496 1.045 1.296 1.671 2.000 2.099 2.390 2.660 2.915 70 3.232 0.678 3.460 0.847 1.044 1.294 1.667 1.994 2.093 2.381 2.648 2.899 80 0.678 0.846 3.211 3.435 1.043 1.292 1.664 1.990 2.088 2.374 2.639 90 2.887 3.195 0.677 0.846 3.416 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 1000 0.675 3.174 0.842 3.390 1.037 1.282 1.646 1.962 2.056 2.330 2.581 2.813 3.098 0.674 3.300 Z 0.842 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.090 3.291 df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 Area in Right TailA simple random sample of size n is drawn. The sample mean, x, is found to be 19.3, and the sample standard deviation, s, is found to be 4.8. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 35. Lower bound: ; Upper bound: (Use ascending order. Round to two decimal places as needed.)A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a random sample of 1040 people age 15 or older, the mean amount of time spent eating or drinking per day is 1.53 hours with a standard deviation of 0.63 hour. Complete parts (a) through (d) below. UA. The distribution Of The Sample meall will always be approximately normal. O B. The distribution of the sample mean will never be approximately normal. CC. Since the distribution of time spent eating and drinking each day is not normally distributed (skewed right), the sample must be large so that the distribution of the sample mean will be approximately normal. O D. Since the distribution of time spent eating and drinking each day is normally distributed, the sample must be large so that the distribution of the sample mean will be approximately normal. (b) There are more than 200 million people nationally age 15 or older. Explain why this, along with the fact that the data were obtained using a random sample, satisfies the requirements for constructing a confidence interval. O A. The sample size is greater than 10% of the population. O B. The sample size is greater than 5% of the population. C. The sample size is less than 5% of the population. O D. The sample size is less than 10% of the population. (c) Determine and interpret a 99% confidence interval for the mean amount of time Americans age 15 or older spend eating and drinking each day. Select the correct choice below and fill in the answer boxes, if applicable, in your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) O A. There is a 99% probability that the mean amount of time spent eating or drinking per day is between and hours . O B. The nutritionist is 99% confident that the amount of time spent eating or drinking per day for any individual is between and hours. O C. The nutritionist is 99% confident that the mean amount of time spent eating or drinking per day is between and hours . O D. The requirements for constructing a confidence interval are not satisfied.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 5.30 5.72 4.62 4.80 I A normally distributed. A boxplot indicates there are no outliers. Complete parts a) 5.02 4.59 4.74 5.19 through d) below. 5.29 4.76 4.56 5.68 a 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 5.02 . (Round to two decimal places as needed.) (b) Construct and interpret a 95% condence interval for the mean pH of rainwater. Select the correct choice below and ll in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) 0 A' There is a 95% probability that the true mean pH of rain water is between D and D. O B- There is 95% condence that the population mean pH of rain water is between D and D. O C. If repeated samples are taken, 95% of them will have a sample pH of rain water between D and D