Sample Sample Sample Sample Consider the data in the table collected from four independent populations. 2 3 4 The conclusion of a one-way ANOVA test using a = 0.01 is that the population 13 means are not all the same. Determine which means are different using 10 23 a = 0.01. 16 21 A CO 12 Click here to view the ANOVA summary table. Click here to view a table of critical values for the studentized range. Let X1, X2, X3, and x, be the means for samples 1, 2, 3, and 4, respectively. Find the absolute values of the differences between the means. X 1 - X2 = 6.75 1X2 - X3/ = 5.25 (X1 - X3/ = 12 1X 2 - X4 = 5 (Xy - XA/ = 1.75 X3 - X4 = 10.25 (Type integers or decimals. Do not round.) Find the Tukey-Kramer critical range CR for each of these differences. 10 CR2.3 = 00 CR1,3 = CR2.4 = CR1.4 = CR3,4 = (Round to two decimal places as needed.) Summary Table of the ANOVA Results -X Sum of Degrees of Mean Sum of Source Squares Freedom Squares F Between 336 112 6.85 Within 163.5 10 16.35 Total 499.5 13 Print Done