An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants 15 fields, 5 with each variety. She then measures the crop yield in bushels per acre. Treating this as a completely randomized design, the results are presented in the table that follows. Trial Smith Walsh Trevor 1 11.1 19.0 14.6 13.5 18.0 15.3 19.8 14.6 19.6 16.7 9.8 16.6 15.2 2 3 4 5 15.7 16.8 1) The agronomist decided to perform an ANOVA F test. The amount of total variation or SST is 734.75 KEYWORDS: one-way analysis of variance, sum of squares 2) The among-group variation or SSA is 692.31 KEYWORDS: one-way analysis of variance, sum of squares 3) The within-group variation or SSW is 230.77 KEYWORDS: one-way analysis of variance, sum of squares 4) The value of MSA is 230.77 while MSW is 2.65 KEYWORDS: one-way analysis of variance, mean squares 5) The null hypothesis will be rejected at a level of significance of 0.01 if the value of the test statistic is greater than KEYWORDS: one-way analysis of variance, F test for factor, critical value 6) The value of the test statistic is KEYWORDS: one-way analysis of variance, F test for factor, test statistic 7) Construct the ANOVA table from the sample data. KEYWORDS: one-way analysis of variance, F test for factor, properties 8) State the null hypothesis that can be tested. KEYWORDS: one-way analysis of variance, F test for factor, form of hypothesis 9) True or False: The null hypothesis should be rejected at 0.005 level of significance. KEYWORDS: one-way analysis of variance, F test for factor, decision 10) True or False: The decision made at 0.005 level of significance implies that all 3 means are significantly different. KEYWORDS: one-way analysis of variance, F test for factor, conclusion 11) True or False: The test is valid only if the population of crop yields has the same variance for the 3 varieties. KEYWORDS: one-way analysis of variance, F test for factor, assumption 12) True or False: The test is valid only if the population of crop yields is normally distributed for the 3 varieties. KEYWORDS: one-way analysis of variance, F test for factor, assumption