The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.025 level that the drug stays in the system for more than 370 minutes. For a sample of 7 patients, the average time the drug stayed in the system was 380 minutes with a standard deviation of 21. Assume the population distribution is approximately normal. 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 the P-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.
The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.025 level that the drug stays in the system for more than 370 minutes. For a sample of 7 patients, the average time the drug stayed in the system was 380 minutes with a standard deviation of 21. Assume the population distribution is approximately normal.
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 the P-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.
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