Question 1 Calculations (6 points) 1- Three levels of a factor were tested to decide if there is a difference among the means of the three levels. Groups Count Sum Average Variance Black 8 102939 12867.38 1772841 White 10 121011 12101.1 8197156 Red 7 88127 12589.57 2433801 2- Using the following data, construct an ANOVA table to see if the means of the three categories are correct or not. Compare your results to a two-sided t-test assuming pooled variance Black White 11,990 5,990 11,990 11,990 13990 9,100 13990 10990 10,490 16888 12990 11,225 14500 11,450 Question 2 (4 points) 3- Fill the missing values in the following table that shows two-way with replications ANOVA calculations ANOVA Source of Variation SS Of MS F P-value F crit Sample 9 ? 0.16145 4.747225 Columns 10.2 ? 0.000214 4.747225 Interaction 1 0 0 4.747225 Within 12 ? Total 167.75 15 4- Fill the missing values in the following table that shows one-way ANOVA calculations. Use alpha=0.05 to calculate F crit ANOVA Source of Variation SS F P-value F crit Between Groups ? ? 0.000651 ? Within Groups 84.5! 10 3.455 Total 366.7692 12