You intend to estimate a population mean $\displaystyle \mu$ from the following sample.

38.8
60.8
35.4
49.8
48.1
69.5
38.2
46.9
41.7
45
43.3

You believe the population is normally distributed. Find the 99.5% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).

99.5% C.I. =

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