Assume that a sample is used to estimate a Normally distributed population with mean μ\displaystyle \mu. Find the 99% confidence interval for a sample of size 30 with a mean of 30.2 and a standard deviation of 10.5.

Enter your answer as an open-interval (i.e., parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).

99% C.I. =

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