You intend to estimate a population mean \(\mu\) from the following sample:

\[
57.5, 55.6, 27.7, 58.7, 55.5, 43.7, 51.2, 30.7, 34.3, 40.1, 42.2, 39.0, 46.9, 29.9, 30.9, 52.2, 19.2, 33.1, 49.6, 40.2, 49.7, 52.2, 51.7, 59.0, 67.8, 27.5, 52.7, 29.2, 34.1, 62.5, 56.1, 46.9, 37.0, 48.3, 42.8, 40.7, 17.6, 61.8, 45.6, 18.9, 51.8, 35.5, 53.4, 28.4, 43.1, 18.3, 33.0, 45.4, 46.5, 27.4, 42.8, 23.8, 44.0, 46.0, 54.6
\]

Find the 99% 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). The answer should be obtained without any preliminary rounding. However, the critical value may be rounded to three decimal places.