Dr. S a veterinarian, wants to estimate the average number of calories a chihuahuas typically eats in a day. She'll take a sample of n chihuahuas and create a 99% confidence interval for the mean daily caloric intake. She wants the margin of error be no more than 8 calories. A pilot study suggests that the daily caloric intake a chihuahuas has a standard deviation of 30 calories. What is the smallest approximate sample size required to obtain the desired margin of error?