*6. Consider the data in the table collected from three independent populations. a) Calculate the total sum of squares (SST) and partition the SST into its two components, the sum of squares between (SSB) and the sum of squares within (SSW). b) Use these values to construct a one-way ANOVA table. c) Using = 0.05, what conclusions can be made concerning the population means? 1 Click the icon to view a table of critical F-scores for = 0.05. a) Determine the values. (Type an integer or a decimal.) SST= SSB= SSW= (Type an integer or a decimal.) (Type an integer or a decimal.) b) Complete the one-way ANOVA table below. Source Between Within Total Sum of Squares Degrees of Freedom Mean Sum of Squares F (Type integers or decimals. Round to three decimal places as needed.) c) Let , H, and be the population means of samples 1, 2, and 3, respectively. What are the correct hypotheses for a one-way ANOVA test? OA. Ho: H1 H2 H3 H: Not all the means are equal. OC. Ho: H1 H2 H3 OB. Ho H1 H2 =3 H: Not all the means are equal. OD. Ho: H1 H2 =3 H: H1 H2 H3 What is the critical F-score, Fa? F = (Round to three decimal places as needed.) What is the correct conclusion about the population means? Since the F-statistic (1). 1: Table of Critical F-scores Table of Critical F-scores for a = 0.05 H: H1 H2 H3 Sample 1 7 Sample 2 3 Sample 3 3 3 4 4 11 5 1 8 in the rejection region, (2) Ho. The data (3) sufficient evidence to conclude that the population means are not all the same. F = (Round to three decimal places as needed.) What is the correct conclusion about the population means? Since the F-statistic (1). 1: Table of Critical F-scores Table of Critical F-scores for = 0.05. in the rejection region, (2) Ho. The data (3) n sufficient evidence to conclude that the population means are not all the same. D D 1 2 3 4 5 6 7 8 10 1 161.448 199.500 2 18.513 19.000 215.707 19.164 224.583 230.162 233.986 236.768 238.883 240.543 241.882 19.247 19.296 19.330 19.353 19.371 19.385 19.396 3 10.128 9.552 9.277 9.117 9.013 8.941 8.887 8.845 8.812 8.786 4 7.709 6.944 6.591 6.388 6.256 6.163 6.094 6.041 5.999 5.964 5 6.608 5.786 5.409 5.192 5.050 4.950 4.876 4.818 4.772 4.735 6 5.987 5.143 4.757 4.534 4.387 4.284 4.207 4.147 4.099 4.060 7 5.591 4.737 4.347 4.120 3.972 3.866 3.787 3.726 3.677 3.637 8 5.318 4.459 4.066 3.838 3.687 3.581 3.500 3.438 3.388 3.347 9 5.117 4.256 3.863 3.633 3.482 3.374 3.293 3.230 3.179 3.137 10 4.965 4.103 3.708 3.478 3.326 3.217 3.135 3.072 3.020 2.978 11 4.844 3.982 3.587 3.357 3.204 3.095 3.012 2.948 2.896 2.854 12 4.747 3.885 3.490 3.259 3.106 2.996 2.913 2.849 2.796 2.753 13 4.667 3.806 3.411 3.179 3.025 2.915 2.832 2.767 2.714 2.671 14 4.600 3.739 3.344 3.112 2.958 2.848 2.764 2.699 2.646 2.602 15 4.543 3.682 3.287 3.056 2.901 2.790 2.707 2.641 2.588 2.544 16 4.494 3.634 3.239 3.007 2.852 2.741 2.657 2.591 2.538 2.494 17 4.451 3.592 3.197 2.965 2.810 2.699 2.614 2.548 2.494 2.450 18 4.414 3.555 3.160 2.928 2.773 2.661 2.577 2.510 2.456 2.412 19 4.381 3.522 3.127 2.895 2.740 2.628 2.544 2.477 2.423 2.378 20 4.351 3.493 3.098 2.866 2.711 2.599 2.514 2.447 2.393 2.348 21 4.325 3.467 3.072 2.840 2.685 2.573 2.488 2.420 2.366 2.321 22 4.301 3.443 3.049 2.817 2.661 2.549 2.464 2.397 2.342 2.297 23 4.279 3.422 3.028 2.796 2.640 2.528 2.442 2.375 2.320 2.275 24 4.260 3.403 3.009 2.776 2.621 2.508 2.423 2.355 2.300 2.255 25 4.242 3.385 2.991 2.759 2.603 2.490 2.405 2.337 2.282 2.236 26 4.225 3.369 2.975 2.743 2.587 2.474 2.388 2.321 2.265 2.220 27 4.210 3.354 2.960 2.728 2.572 2.459 2.373 2.305 2.250 2.204 28 4.196 3.340 2.947 2.714 2.558 2.445 2.359 2.291 2.236 2.190 29 4.183 3.328 2.934 2.701 2.545 2.432 2.346 2.278 2.223 2.177 30 4.171 3.316 2.922 2,690 2.534 2.421 2.334 2.266 2.211 2.165 (1) does not fall falls (2) do not reject reject (3) provide do not provide Paper size Letter Print