Amelia would like to determine the minimum sample size needed to achieve a margin of error of $5 when estimating the 99% condence interval for the average amount individuals aged 20-30 years spend on hobbvz'leisure activities each month. From a small sample, she found that individuals aged 20-30 years spent $113 on average, with a standard deviation of $31.50. What is the minimum sample size required? Answer as a whole number