The director of research and development is testing a new drug. She wants to know if there is evidence at the $0\mathrm{.}01$ level that the drug stays in the system for more than $334$ minutes. For a sample of $87$ patients, the mean time the drug stayed in the system was $340$ minutes. Assume the variance is known to be $529.$

Step $1$ of $5$: Enter the hypotheses: