1. Describe two scenarions each for the application of : (a) One way analysis of variance (b) Two way analysis of variance [4 + 6 marks] 2. To compare the effectiveness of three different types of fertihzers on the yield of yam in the parish of Trelawny. The following yields (in pound} were recorded for the three types Lmder investigation: Type] 58.13 28.1 33.2 54.5 69.9 711.? 911.? 33.8 Type2 1213.6 115.5 132.5 162.3 144.6 1139.9 153.6 158.3 Type3 231.3 266.5 323.4 164.? 135.8 265.6 322.9 263.3 Required: (a) By hand, calculate the total sum squares (SSror), residual or error sum squares ($33), treatment sum squares SST. mean square error. mean square treatment and degree of freedom [6 marks] {13) Create ANUVA Table using the calculation in (a) [3 marks] (c ) Repeat the calculation in (a) using Microsoft Excel to generate the ANDVA Table [4 marks] (d) Test the null hypothesis that there is no difference in the effectiveness of the three fertilizers at the {1.115 level of signicance. To get full marks; state the hypothesis decision and conclusion [5 marks] (e) Which of the three fertilizers would you recommend to farmers? [2 marks]