1. (2 pts per part). Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze.A researcher measures how long it takes 80 mice to complete the maze with and without a noise stimulus. The researcher wants to know if a loud noise will change the time in which it takes the mice to complete the maze.The first randomly selected 40 mice to complete the maze without a noise stimulus have a mean time of 18 seconds and a standard deviation of 0.55. The researcher measures how long each of the remaining 40 mice take with a noise stimulus.The sample mean is 16.5 seconds and the standard deviation is 0.84.
2. What is the null hypothesis for the test of significant differences between seconds to complete the maze with and without a noise stimulus?
3. What is the alternative hypothesis for the test of significance?
4. Compute the test statistics and use the t-table to find the p-value (hint: is this a one-tail or two-tail test?).What is the t statistic?
5. Is the difference significant at the 0.05 significance level?
6. What do you conclude?