The director of research and development is testing a new medicine. She wants to know if there is evidence at the $0\mathrm{.}025$ level that the medicine relieves pain in more than $319$ seconds. For a sample of $17$ patients, the average time in which the medicine relieved pain was $323$ seconds with a standard deviation of $22.$ Assume the population distribution is approximately normal.

Step $1$ of $5$: State the null and alternative hypotheses.

Answer $2$ Points

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$H_0$:

$H_a$: