In a farm settlement program on growth of cassava, five varieties of fertilizers were studied. Since the farm settlements were located in different parts of the country, five locations were chosen for the study and five varieties of cassava were also studied. The 5×5 Latin square design was chosen for the study and the data below represent the yield in kilograms after 6 months:

Are any of the factors like location, variety, and fertilizer type significant?
(fertilizer types are represented by the Latin letters, A, B, C, D, and E). For any of the factors that are significant, compare their means. Check that basic assumptions such as randomness, normality of errors, are not violated. Is there any outlier?

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Location Variety I II III IV V I B 2.25 A 5.6 D 6.75 E 3.1 C 4.25 E 2.97 D 7.3 C 3.98 A 4.9 B 3.20 A 4.1 C 5.2 B 4.2 D 6.2 E 3.6 IV D 5.9 B 4.7 E 4.9 C 4.4 A 6.21 V C 3.8 E 3.8 A 7.4 B 3.9 D 5.88