The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.1 level that the drug stays in the system for more than 385 minutes. For a sample of 57 patients, the mean time the drug stayed in the system was 389 minutes. Assume the population variance is known to be 484.

Step 1 of 6: State the null and alternative hypotheses.

Step 2 of 6:Find the value of the test statistic. Round your answer to two decimal places.

Step 3 of 6:Specify if the test is one-tailed or two-tailed.

Step 4 of 6:Find theP-value of the test statistic. Round your answer to four decimal places.

Step 5 of 6: Identify the level of significance for the hypothesis test.

Step 6 of 6: Make the decision to reject or fail to reject the null hypothesis.