Question: Suppose that the body weight at birth of normal children (single births) within the US is approximately normally distributed and has a mean of 115.2 oz. A pediatrician believes that the birth weights of normal children born of mothers who are habitual smokers may be lower on average than for the population as a whole. To test this hypothesis, records were taken of the birth weights of a random sample of 20 children from mothers who are still smokers. The mean of this sample is 114.0 oz, with s= 4.3. Evaluate the pediatricians theory, α= .05. Construct the 95% confidence interval around \(\bar{X}\)