High temperatures for days in March in St. Louis can vary a lot. However, it is safe to assume that, over time, they are normally distributed. A random sample of ten days from the month of March in years from 2000 until 2023 produced the following data. The summary statistics are given as well. High temperature data: 51, 62, 71, 53, 69, 81, 50, 52, 39, 63 =59.1 degrees and =12.4 degrees a) Find the standard error of the mean and interpret this value in context. b) Is the normal condition for a one-sample t - interval for a mean satisfied? Explain. c) What critical value would one use to estimate, with 98% confidence, the mean high temperature for all days in March in St. Louis?