11.2

21. Assume that the differences for the given data are normally distributed. Complete parts (a) through (d). Prin Click here to view the sample data." Click here to view the table of critical t-values. (a) Determine di = X; - Y, for each pair of data. Observation d, (Type integers or decimals. Do not round.) (b) Compute d and Sd d= (Round to three decimal places as needed.) Sd = (Round to three decimal places as needed.) (c) Test if Ha 0 H1 : Hd = 0 H1 : Hd 0 Determine the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the range of the P-value. The P-value is (1) _ Determine the proper conclusion. (2) the null hypothesis. There is (3) evidence that Ha (4) - _0 at the a = 0.05 level of significance. (d) Construct a 95% confidence interval about the population mean difference ud. The lower bound is The upper bound is (Round to two decimal places as needed.) 1: Sample Data Observation 2 3 5 6 Xi 7.8 7.5 7.4 5.9 8.4 6.6 5.6 Yi 8.2 6.6 10.7 9.5 7.8 9.1 8.5 2: Table of Critical t-Values Area in right tail f-Distribution Degrees of Area in Right Tail 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 63.657 127.321 318.309 636.619 0.816 1.061 1.386 2.920 4.303 4,849 6.965 0.92 14.08 31.509 0.765 0.978 1.250 1.638 2.353 3.182 3.482 5.841 12.924 0.741 0.941 1.190 1.533 2535 2.909 3.747 4.604 5.598 10.215 8.610 0.727 0.920 .156 1.476 2.132 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.869 0.718 0.906 2.447 2.612 3.707 0.711 0.896 2.365 3.143 4.317 2.517 3.490 5.206 4.020 0.706 0.889 2.306 2.449 2.896 3.355 5.041 0.883 1.833 2.262 2.398 2.821 3.250 8:700 3.690 4.781 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.587 0.697 0.876 1.796 2.201 2.328 3.106 3.497 4.025 0.695 0.873 1.782 2.303 2.681 3.055 3.428 3.930 4.318 0.694 1.771 2.160 2.282 3.012 3.372 3.852 0.692 2.264 2.624 3.787 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 1.337 1.746 2.120 2.235 2583 2.921 3.252 3.686 4.015 0.689 2.110 0.688 2.101 256 3.222 0.688 2.205 3.174 3.610 0.687 1.325 2.086 3.552 0.686 0.859 1063 1.323 2.080 3.527 3.819 0.686 2.074 0.685 0.858 0.85 2:065 3.792 2.797 0.684 0.856 1.058 1.316 1.708 2.060 2.78 3.078 3.45 0.684 1.315 2.056 2.162 1.314 2.7 79 3.067 0.684 0.856 1.058 1.703 3.435 3.707 1.057 0.683 0.855 1.313 3.057 0.85 3.406 0.683 .055 1.311 1.609 2.045 2462 3.038 3.67 0.683 0.854 1310 1.697 2.042 2:147 3.030 3.39 3.38 0.682 0.853 0.853 1.054 1.309 2.040 3.633 1.054 2.037 2144 2453 3.022 3.015 3.37 3.622 0.687 0852 2.035 2.141 1052 1.307 0.682 2:136 2441 3.601 0.852 1.052 1.306 2.030 2.724 2.996 3.340 0.681 0.852 1.052 1.306 2.719 3.33 3.582 0.681 0.851 1.305 2.028 2.131 2,026 2715 3.326 3.574 0.681 0.851 1.304 2.127 2431 2426 2712 2.980 3.319 0.681 0.851 2:023 1.050 2.976 3.313 3.56 0.681 0.851 1.303 1.684 2.021 2.123 2423 2704 2.971 3.307 3.551 0.679 2.009 2.109 2.099 2 403 2.937 3.261 3.496 0.679 1.671 0.678 2.390 2.915 3.232 3.460 1.667 2.093 0.678 3.211 2.088 2.374 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 0.677 0.845 1042 1.660 1.984 2.081 2.364 2.626 2.871 3.174 3.390 1060 0.675 0.842 1.037 1.282 2.056 2.330 2.581 2.813 3.098 3.300 0.674 0.842 1.036 1.282 2 326 Degrees of 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 Freedom f-Distribution Area in Right Tail (1) O between 0.01 and 0.02. O between 0.02 and 0.025. O between 0.15 and 0.20. O between 0.005 and 0.01. (2) O Reject (3) O insufficient between 0.20 and 0.25 between 0.025 and 0.05. between 0.10 and 0.15. O Do not reject O sufficient O between 0.0025 and 0.005. O between 0.0005 and 0.001. O between 0.05 and 0.10. O greater than 0.25. O between 0.001 and 0.0025. O less than 0.0005 (4) 0 = OC