12 points A toy manufacturer asks a developmental psychologist to test children s response to a new product Specifically the manufacturer wants to know how long on average the toy captures children s attention The psychologist tests a sample of 49 children and measures how long they play with the toy before they get bored and want something else to play with This sample had a mean time of 18 minutes and a standard deviation of 3 minutes Construct a 99 confidence interval estimate for the mean number of minutes all children play with the toy before they get bored