Suppose the preliteracy scores of three-year-old students in the United States are normally distributed. Shelia, a preschool teacher, wants to estimate the mean score on preliteracy tests for the population of three-year-olds. She draws a simple random sample of 20 students from her class of three-year-olds and records their preliteracy scores (in points). 80, 82, 83, 85, 86,91,91,92,92, 93,95, 97,99, 100, 100, 103, 107, 108, 111, 112 Click to download the data in your preferred format. Crunchlt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc Calculate the sample mean (x), sample standard deviation (S), and standard error (SE) of the students' scores. Round your answers to four decimal places. Determine the t-critical value (t) and margin of error (m) for a 95% confidence interval. Round your answers to three decimal places