Question 9 4 pts Use the tables below for the measured cholesterol levels of randomly selected subjects for the remaining questions. Results from two-way analysis of variance are also shown for the data table. Use a 0.05 significance level. AGE UNDER 30 30 TO 50 OVER 50 MALE 265 302 75 303 277 189 1252 276 288 430 316 578 957 120 31 FEMALE 325 86 254 112 173 384 1162 179 318 301 162 600 223 94 309 RESULTS FROM VASSAR.NET FOR TWO-WAY ANOVA: Within each box: Item 1 = N Item 2 = Item 3 Mean Item 4 = x Item 5 = Variance Item 6 = Std. Dev. Item 7 = Std. Err. C1 C2 C3 C4 Total 5 5 5 --- 15 3207 1291 1161 641.4 258.2 232.2 2830287 358365 459335 R1 193329.3 6257.2 47437.7 439.69 79.1 217.8 196.64 35.38 97.4 5659 377.2667 3647987 108073.92 328.75 84.88 5 5 5 --- 2123 694 1865 424.6 138.8 373 1608743 104446 768577 R2 176829.3 2029.7 18233 420.51 45.05 135.03 188.06 20.15 60.39 15 4682 312.1333 2481766 72882.7 269.97 69.71 10 10 10 --- 30 5330 1985 3026 533 198.5 302.6 10341 344.7 4439030 462811 1227912 6129753 Total 177571.11 7643.17 34693.82 421.39 87.43 186.26 88455.53 297.41 133.26 27.65 58.9 54.3 standard weighted-means analysis 2rows x 3columns ANOVA Summary Source Rows SS 31817.63 3 1 df MS F P 31 31817.63 0.43 0.5182 Columns 586037.4 2 293018.7 3.96 0.0326 rxc 170890.47 285445.24 1.15 0.3335 Error 1776464.8 24 74019.37 Total 2565210.3 20 29 ? Critical Values for the Tukey HSD Test HSD[.05] HSD[.01] Rows 2 204.84 278.03 Columns 3 303.96 391.59 Cells 6 532.46 654.98 HSD=the absolute [unsigned] difference between any two means (row means, column means, or cell means) required for significance at the designated level: HSD[.05] for the .05 level; HSD[.01] for the .01 level. The HSD test between row means can be meaningfully performed only if the row effect is significant; between column means, only if the column effect is significant; and between cell means, only if the interaction effect is significant. Are cholesterol levels affected by an interaction between gender and age? Support your answer.