A market research dept. in a fastfood company collected information on the number of meals eaten outside the home per week by young married couples. 

A survey of 60 couples showed the sample mean number of meals eaten outside the home was 4.12 meals per week with standard deviation 0.25 meal per week. 

Construct a 99% confidence interval for the population mean.

a. What is the lower bound of the interval? (correct answer to 4 decimal places!)