Consider the data in the table collected from four independent populations. Sample Sample Sample Sample 1 2 3 4 14 15 17 14 a) Calculate the total sum of squares (SST). 11 22 b) Partition the SST into its two components, the sum of squares between (SSB) and the sum of squares within (SSW). c) Using a = 0.10, what conclusions can be made concerning the population means? Click the icon to view a table of critical F-scores for a = 0.10.2 3 5 6 7 10 39.863 49.500 53.503 55.833 57.240 58.204 58.906 59.439 50 858 60.1 05 8.526 9.000 9.162 9.243 9.293 9.326 9.349 9.367 9.381 9.392 5.538 5.462 5.391 5.343 5.309 5.285 5.266 5.252 5.240 5.230 4.545 4.325 4.191 4.107 4.051 4,010 3,970 3.955 3.936 3.920 4.060 3.780 3.619 3.520 3.453 3.405 3.368 3.339 3.316 3.207 3.776 3.463 3.289 3.181 3.108 3.055 3.014 2.983 2.958 2.937 3.589 3.257 3.074 2.961 2.883 2.827 2.785 2.752 2.725 2.703 3.458 3.113 2.924 2.806 2.726 2.668 2.624 2.589 2561 2538 3.360 3.006 2.813 2.693 2.611 2.551 2.505 2.469 2.440 2.416 10 3.285 2.924 2.728 2.605 2.522 2.461 2.414 2.377 2347 2 323 11 3.225 2.860 2.660 2.536 2.451 2.389 2.342 2.304 2.274 2 248 12 3.177 2.807 2.606 2.480 2.394 2.331 2.283 2.245 2.214 2.188 13 3.136 2.763 2.560 2.434 2.347 2.283 2.234 2.195 2.164 2.138 14 3.102 2.726 2.522 2.395 2.307 2.243 2.193 2.154 2.122 2.095 15 3.073 2.695 2.490 2.361 2.273 2.208 2.158 2.1 19 2.086 2 050 16 3.048 2.668 2.462 2.333 2.244 2.178 2.128 2.088 2.055 2.028 17 3.026 2.645 2.437 2.308 2.218 2.152 2.102 2.061 2.028 2.001 18 3.007 2.624 2.416 2.286 2.196 2.130 2.079 2.038 2.005 1.977 19 2.900 2.606 2.397 2.266 2.176 2.109 2.058 2.017 1.984 1.956 20 2.975 2.589 2.380 2.249 2.158 2.091 2.040 1.999 1.965 1.937 21 2.961 2.575 2.365 2.233 2.142 2.075 2.023 1.982 1.948 1.920 21 2040 2.561 2.351 2.219 2.128 2.060 2.008 1.967 1.933 1.904 23 2.937 2.549 2.330 2.207 2.115 2.047 1.995 1.953 1.919 1.890 24 2.927 2.538 2.327 2.195 2.103 2.035 1.983 1.941 1.906 1.877 25 2018 2.528 2.317 2.184 2.092 2.024 1.971 1.929 1.895 1.866 26 2.909 2.519 2.307 2.174 2.082 2.014 1.961 1.919 1 884 1.855 27 2.901 2.511 2.290 2.165 2.073 2.005 1.952 1.909 1.874 1.845 28 2. 804 2.503 2.291 2.157 2.064 1.996 1.943 1.900 1 865 1.836