The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.05 level that the drug stays in the system for more than 357 minutes. For a sample of 62 patients, the mean time the drug stayed in the system was 365 minutes. 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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