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.82,85,86,92,93,94,96,98,98,1 01,101,101,101,101,102,104,105,106, 108,113Calculate the sample mean (x??), sample standard deviation (s), standard error (SE) of the students' scores. Round your answers to four decimal places. x(line on top of x)= s= SE=Determine the t-critical value (t) and margin of error (m) for a 90% confidence interval. Round your answers to three decimal places. t=m=What are the lower and upper limits of a 90% confidence interval? Round your answers to three decimal places. lower limit=upper limit=-Which is the correct interpretation of the confidence interval?A) There is a 90% chance that the true population mean is between 95.448 points and 101.252 points. B) Shelia is 90% confident that the true population mean is between 95.448 points and 101.252 points. C) Shelia is 90% confident that the true population mean is between 95.300 points and 101.400 points. D) Shelia is certain that the true population mean is between 95.300 points and 101.400 points. E) There is a 90% chance that the population mean is between 95.300 points and 101.400 point