Answer should be obtained without any preliminary rounding. However, the critical value may berounded to 3 decimal places.

You Intend to estimate a population mean / from the following sample 79.1 72.4 76.9 70.2 83.7 64.6 65.2 85.6 91 64.4 74 71.4 64.3 62.6 93.2 62 90.6 70.5 63.7 76.1 74.6 100.9 76.7 83.8 82.2 81.4 91.6 88.7 66.8 69.6 78.7 85.6 78.7 82.4 72.7 58.7 75 75.8 72.9 73.6 82 78.4 100.9 91.2 95.3 96.3 86.8 76.1 99.8 103.3 86.4 88.1 86.4 73.2 80.1 85.9 106 Find the 99.5% confidence interval. Enter your answer as a tri-linear Inequality accurate to two decimal place (because the sample data are reported accurate to one decimal place).