A research was carried out into the yield of paw-paw under nine fertilizer treatments in three different experimental farms. However, only three of the fertilizers were used exclusively in each of the three farms, so that fertilizer treatments were nested within farms. The following data represent the yields in pounds of paw-paw for early harvest and late harvests from the same paw-paw tree.

Analyze the responses and determine whether there are significant differences between farms and fertlizers embedded in farms.

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F1 Farm I F2 Farm II F3 F4 F5 F6 E L E L E L E L E L E L 54.1 78.6 46.2 65 44.7 66 44.1 58.6 36.4 45 34.7 51 44.6 68.9 46.8 63 55.7 67.5 47.8 34.6 46.7 43.2 47.8 56.9 46.4 55.4 63 48.5 58.9 36.8 43 35.5 53 58 47.2 61.7 45.7 57.5 38.9 44 37.3 46 55.5 47.3 65.7 44.6 48.7 32 45.5 37 65.7 58.9 46.6 61 41.8 56.9 31.6 46.7 36.7 61 Farm III F7 F8 F9 E L E L E L 54 58.6 46.4 45 39.8 53 58 67 44.8 43 40.5 56 43 57.8 43.4 44 39.7 56 54.4 58.7 38 45.5 37 63.5 41.8 57 40.6 46.7 45 62.2