# The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.02 level that the drug stays in the system for more than 335 minutes. For a sample of 51 patients, the mean time the drug stayed in the system was 338 minutes. Assume the population variance is known to be 361 a-State the null and alternative hypotheses. b-Find the value of the test statistic. Round your answer to two decimal places. c-Specify if the test is one-tailed or two-tailed

Question

The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.02 level that the drug stays in the system for more than 335 minutes. For a sample of 51 patients, the mean time the drug stayed in the system was 338 minutes. Assume the population variance is known to be 361

a-State the null and alternative hypotheses.

b-Find the value of the test statistic. Round your answer to two decimal places.

c-Specify if the test is one-tailed or two-tailed

d-Find the P-value of the test statistic. Round your answer to four decimal places.

e-Identify the level of significance for the hypothesis test.

f-Make the decision to reject or fail to reject the null hypothesis.