Question

The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.0250.025 level that the medicine relieves pain in less than 305305 seconds. For a sample of 1717 patients, the average time in which the medicine relieved pain was 299299 seconds with a standard deviation of 2525. Assume the population distribution is approximately normal.

1. State the null and alternative hypotheses.

2. Find the value of the test statistic. Round your answer to three decimal places.

3. Specify if the test is one or two-tailed.

4. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

5. Make the decision to reject or fail to reject the null hypothesis.

Answer 1