On question e answer as an statistician would**

28. (10 points) The average weights of babies at an age of 3 months are normally distributed with a mean of 13.4 lbs., and a standard deviation of 1.4 Ibs. a. What is the percentile of a baby that weighs 15 lbs? b. Above what weight would a baby have to be above if they were in the 95th percentile? c. What are the percentiles of 3-month old baby weights that are within 2 Ibs. of the mean? d. A child is considered obese if they are at or above the 98th percentile, what would a 3-month old baby weigh have to be at or above the 98th percentile? e. A child of any age is considered to be in a state of malnutrition if they are below their observed weight is unusual. Usually in these cases Child Protection Services is notified if this is possibly due to child neglect, meaning this is not due to underlying medical conditions. If a 3-month old is observed to have a weight 9.5 lbs, with no underlying medical conditions, should CPS be notified? Explain your answer using data, do not simply write yes or no. (Remember that you must answer as a