2. Data shows the average yield of the farm is 4.54 MT/hectare. They decide to test a new organic fertilizer on a smaller sample of farms and observe the new yield for 12 different farms in metric tons per hectare. 3.52, 4.51, 4.56, 5.20, 4.58, 3.22, 2.19, 3.53, 4.41, 3.19, 4.16, 3.96 Did the new fertilizer work? Test the hypothesis using a = .05. Follow all the steps discussed in the class. 3. The table below shows the age of first occurrence of menstruation for 324 women. Test the null hypothesis that this data came from a normal distribution using a = .05. Follow all the steps discussed in the class.Age of first occurrence of menstruation for 324 women Age (years) 10 11 12 13 14 15 16 17 18 19 Number of 4 30 79 104 60 32 11 2 1 1 women 4. In order to investigate whether adults report verbally presented material more accurately from their right than from their left ear, a dichotic listening task was carried out. The data were found to be positively skewed. Test the hypothesis that there is no difference between the number of words recalled from the right ear and the number of words recalled from the left ear using a = .05. Follow all the steps discussed in the class. Number of words reported: Participant Left ear Right ear 25 32 29 30 10 8 31 32 27 20 24 32 26 27 29 30 30 32 32 32 20 30 12 5 32