A researcher would like to evaluate whether a new cold medication alters reaction time.It is known that under typical circumstances (when people are not on medication) the distribution of reaction times is normal with = 210 ms.The researcher obtains asample of 16 participants.Each person is given the new cold medication and 1 hour later reaction time is measured for each individual.The mean reaction time for this sample is 214 ms with a standard deviation of 4.26ms.Using this data, answer the following questions:

a) What are the null and alternative hypotheses(in words or symbols)for this study? (2 pts)

b) Calculate the standard error of the mean. (2 pts)

c) create a 95% confidence interval estimating the population mean reaction time for people on the cold medication. (3 pts)

d) Give the interpretation of this confidence interval (interpretation, not whether you reject or not). (2 pts) .

e) Using the confidence interval (not a t-test!), does the evidence suggest that the population mean reaction time for people on medication is significantly different than that of people not on medication? Explain why or why not. Include whether or not you reject the null hypothesis. (2 pts)