2. An aspiring agribusiness entrepreneur grows herbs for medicinal purposes and wants to test the effects of three different brands of fertilizer on yields of the herbs: 5 plants are fertilized with brand 1; 4 plants with brand 2; and 6 plants with brand 3 The yields of the herbs in pounds are as follows: BRAND 1: 5.4 4.8 4.6 5.2 5.9 BRAND 2: 4.7 4.4 3.7 4.2 BRAND 3: 6.1 6.0 6.2 4.7 5.2 6.0 BRAND 1 BRAND 2 BRAND 3 X 25.9 17 34.2 X2 135.21 72.78 196.78 a. What are the means of the three brands? (6 pts) BRAND 1 ___________ BRAND 2 ___________ BRAND 3 ___________ b. What is the grand mean? (4 pts) c. What are the hypotheses if you want to determine if there is a difference in the yields across brands of fertilizer? (4 pts) HO: HA: d. At the 1% level of significance, what is the critical value for that test? (4 pts) e. What is the contribution of BRAND 1 to the sum of squares treatment? (4 pts)