The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.02 level that the medicine relieves pain in more than 328 seconds. For a sample of 32 patients, the mean time in which the medicine relieved pain was 334 seconds. Assume the population variance is known to be 441.
Step 1 of 3: State the null and alternative hypotheses.
Step 2 of 3: Find the P-value for the hypothesis test. Round your answer to four decimal places.
Step 3 of 3: Make the decision to reject or fail to reject the null hypothesis.
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