A previous study that investigated the out of pocket cost (after insurance) of having a child at a hospital in the United States found a mean cost of approximately $827 for the entire stay with a population standard deviation of $181.

Suppose the project director wants an estimate of the population mean birthing cost such that there is a .95 probability that the sampling error is $43 or less.

How large a sample size is needed to meet the required precision?

ROUND TO TWO DECIMALS (EVEN THOUGH IT DOESN'T MAKE SENSE)