The mean time it takes aspirin to relieve headache pain is known to be 30 minutes....

The mean time it takes aspirin to relieve headache pain is known to be 30 minutes. A drug company has developed a new drug that they claim provides relief in less time. Government scientists tested the new drug on a sample of 25 individuals with headaches. For this sample, the mean time to relief was 26 minutes. The population standard deviation for the new drug is known to be 7 minutes. A level of significance of .01 is to be used to test if the new drug relieves pain faster than aspirin.

1. State the null and alternative hypotheses for the test of the new drug.

2. Determine the critical value (cut-off point) for the test.

3. a. Draw a diagram of the sampling distribution used to perform the test. b. Label the horizontal axis of your diagram. c. Locate the critical value on your diagram.

4. Calculate the test statistic for this hypothesis test.

5. To what is the test statistic compared to decide on the effectiveness of the new drug?

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