A new over-the-counter cold medication includes a warning label stating that it “may cause drowsiness.” A researcher would like to evaluate this effect. It is known that under regular circumstances the distribution of reaction times is normal with ? = 200. A sample of 9 participants is obtained, and each person is given the new cold medication, and, 1 hour later, reaction time is measured for each individual. The average reaction time for this sample is 206 and a standard deviation of 9.
If the researchers would like to specifically test if the cold medicine reduces reaction time, what are the null and alternative hypotheses?
Determine whether the medication has a significant effect on reaction time. Be sure to write a sentence that demonstrates the outcome of your analyses.