Conditions for a t interval for a mean

Nolan was studying birth weights of infants in Somalia. He took an SRS (simple random sample) of $100$100 births and calculated a sample mean birth weight of $\bar x=3.2 \text{ kg}$x, with, \bar, on top, equals, 3, point, 2, start text, space, k, g, end text. The sample data was slightly skewed with a few outliers. He is considering using his data to construct a confidence interval for the mean birth weight in Somalia.