You intend to estimate a population mean with the following sample.

79.7

68.1

34.5

68.2

52.8

56.3

64.1

38.7

68.2

68.2

78.4

64.1

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 twp 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.