Lipids provide much of the dietary energy in the bodies of infants and young children. There is a growing interest in the quality of the dietary lipid supply during infancy as a major determinant of growth, visual and neural development, and long-term health. An article reported the following data on total polyunsaturated fats (%) for infants who were randomized to four different feeding regimens: breast milk, corn-oil-based formula, soy-oil-based formula, or soy-and-marine-oil-based formula. (Use i= 1, 2, 3, and 4 respectively.)

Sample Regimen Sample Size Sample Mean Sample SD
Breast milk 15 42.9 1.3
CO 17 43.1 1.5
SO 8 43.7 1.2
SMO 14 43.9 1.2
(a) What assumptions must be made about the four total polyunsaturated fat distributions before carrying out a single-factor ANOVA to decide whether there are any differences in true average fat content?

___The distribution of polyunsaturated fat percentages for each of the four regimens must be uniform with equal variances.
___The distribution of polyunsaturated fat percentages for each of the four regimens must be normal with unequal variances.
___The distribution of polyunsaturated fat percentages for each of the four regimens must be normal with equal variances.