A research neurologist is testing the effect of a drug on response time by injecting 100 rats with a dose of a particular drug and then testing their response time. The mean response time for rats not injected is known to be equal to 1.2 seconds with a standard deviation of 0.5 seconds. A random sample of 50 rats is taken from the population. The mean response time for these 50 injected rats is 1.1 seconds. Using Alpha = 0.01, and SD = 0.5 seconds.
a. Set up the null and alternative hypothesis.
b. Choose an appropriate test statistic, fill in all of the information, and solve for the test statistic.