(6 marks) A gardener conducts an experiment to investigate the effects of watering and fertilizer on the height of sunflower seedlings. He chooses three levels of daily watering (low, medium, high) and three types of fertilizer (A, B, C). He assigns six pots to each water/fertilizer combination and plants one sunflower seed in each. After 2 weeks, he measures the seedlings' heights (in mm). These data are recorded in the file sunflower . csv. You may assume that heights are independent and normally distributed with common SD. a. (2 marks) Write down the factor effects version of a 2-way ANOVA model with interaction effects for these data. Be sure to define your variables and to state all assumptions. b. (1 mark) Provide the ANOVA table associated with the fitted model. c. (1 mark) Identify the feature of the data that will allow you to make inference about the interaction effects and two main effects separately using the ANOVA table in (b). d. (2 marks) Using a family-wise error rate of 1%, use the ANOVA table to draw conclusions about the significance of the interaction effects and the two main effects.'Low","A",10.3 'Low","B",12.2 'Low","C",38.7 'Low","A",1.2 'Low","B",13.4 'Low","C",34 'Low","A",15.4 Low","B",5.6 'Low","C",25.5 'Low","A", 12.9 'Low","B",6.2 'Low","C",22 'Low","A",13.8 'Low","B",10.5 'Low","C",37.7 Low","A",19.1 'Low","B",5.9 "Low","C",22.7 "Medium","A",33.3 'Medium","B",49.3 "Medium","C",51.1 'Medium","A",36.1 'Medium","B",26.5 Medium","C",53.7 'Medium","A",34.5 'Medium","B",18.4 "Medium","C",54.6 "Medium","A",31.8 'Medium","B",29.9 'Medium","C",42.5 'Medium","A",48.8 'Medium","B",26.2 Medium","C",44.3 'Medium","A",36 'Medium","B",17 "Medium","C",40.7 High","A",12.6 'High","B",9.3 'High","C",37.6 'High","A",26.3 'High","B",31.6 High","C",31.5 'High","A",23.2 'High","B",17.8 'High","C",32 High","A",22.3 'High","B", 11.1 High","C",30 'High","A",25.8 'High","B", 16 'High","C",25.6 'High","A",25.3 High","B", 11.1 High","C",31.9