If a school district takes a random sample of 60 Math SAT scores and finds that the average is 478, and knowing that the population standard deviation of Math SAT scores is intended to be 100. Find a 99% confidence interval for the mean math SAT score for this district. If n=21, :E(x-bar)=39, and s=16, construct a confidence interval at a 95% confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place. Assume that a sample is used to estimate a population mean p. Find the 99% confidence interval for a sample of size 729 with a mean of 18.8 and a standard deviation of 10.1. Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place). mum Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places. You intend to estimate a population mean u from the following sample. 39.8 33.2 27.3 51.6 25.5 37.7 20.4 30.5 16.2 42.5 14.2 12.9 24.9 -1.8 63.2 40.3 34.3 16.4 43.2 24.2 40.9 38 38.1 2.5 27.4 31.8 23 16.9 36.2 40.5 45.4 8.7 45.2 51.6 50.1 22.3 8.5 27.3 28.5 31.8 54.8 27.4 26.2 19 -13.7 Find the 95% confidence interval. Enter your answer as a tri-linear inequality accurate to two decimal places (because the sample data are reported accurate to one decimal place). H