Mathematics

Giada Villarreal

2 March, 21:20

The effect of drugs and alcohol on the nervous system has been the subject of considerable research recently. Suppose a research neurologist is testing the effect of a drug on response time by injecting 150 rats with a unit of dose of the drug, subjecting each to neurological stimulus, and recording its response time. The neurologist knows that the mean response time for rats not injected with the drug (the "control" mean) is 1.2 seconds. S/he wishes to test whether the mean response time for the drug-injected rats is greater than 1.2 seconds. If the sampling experiment is conducted with the sample mean equal to 1.05 second, set up the test of hypothesis for this experiment and determine if the results are significant. Suppose drug-injected rats have a mean response time of 1.1. seconds, that is mu = 1.1 seconds.

Calculate the value of beta corresponding to the two rejection regions.