A pharmaceutical company produces caffeine pills that are each supposed to contain 200 mg of caffeine. A plant that produces thousands of these pills per batch took an SRS of 15 pills from their latest batch to see
if they contained the proper amount of caffeine. The sample data had a mean of 200.4 mg of caffeine per
pill with a standard deviation of 0.8 mg. The amounts were roughly symmetric with no outliers.
Based on this sample, which of the following is a 95% confidence interval for the mean amount of
caffeine (in mg) per pill in this batch?