researcher would like to determine the average reading ability of third-grade students in the local school district. A sample of n=5 students is selected and each student takes a standardized reading test. The average score for the sample means is = 72 with SS=2,400. What is the confidence interval for the population mean? a. Calculate the standard error (SE) Show your work. (Hint: You need to calculate the standard deviation first) b. Calculate the 99% confidence interval (show your work). Show your work . c. Interpretation