Stoaches are fictional creatures distantly related to bigfoot and yeti. Stoach weights are normally distributed, with mean 1587g and standard deviation 480g. State the probability that the sample mean...

Stoaches are fictional creatures distantly related to bigfoot and yeti. Stoach weights are normally distributed, with mean 1587g and standard deviation 480g. State the probability that the sample mean of a random sample of 36 stoach weights exceeds 1623g. (Report the probability using at least 4 decimal places.)