A researcher takes a sample of 124 babies born in the hospital and finds that the average height of a baby is 19.79 inches. From previous studies, the population standard deviation for the height of a baby was found to be 2.42 inches. Answer the following questions about the confidence interval estimates for the average height of a baby, and round all answers to 3 decimal places. a. What is the lower value for the 84% confidence interval estimate for the height of a baby? b. What is the upper value for the 84% confidence interval estimate for the height of a baby? c. What is the lower value for the 99% confidence interval estimate for the height of a baby? d. What is the margin of error for the 99% confidence interval estimate for the height of a baby? e. If you wish to have a margin of error of less than 0.12 inches when developing a 90% confidence interval estimate, how large of a sample would need to be taken (round up your answer to the nearest integer)