Suppose a researcher is interested in understanding the variation in the price of store brand milk. A random sample of 36 grocery stores is selected from a population and the mean price of store brand milk is calculated. The sample mean is $3.13 with a standard deviation of $0.23. Construct a 99% confidence interval to estimate the population mean.

$2.90 to $3.36

$3.05 to $3.21

$3.03 to $3.23

$3.12 to $3.14

$3.06 to $3.20