2) Psychology experiments sometimes involve testing the ability of rats to navigate mazes. One researcher needs a maze that will take rats an average of about one minute to solve. The proposed maze is tested on 41 rats. Do you think that the average running time for this maze is actually 60 seconds for all rats? To answer the above question: a. Calculate and interpret a confidence interval for the mean running time. b. Make an appropriate hypothesis test and explain your answer using the below information. Sample statistics: Count 41 25.0 62.5 Time Mean 52.2095 Standard Deviation 13.5646 3) In March 2010, a poll gave Bertrand Delano (previous mayor of Paris) a satisfaction rating of 56%. In April 2010, a poll of 1011 people gave him a satisfaction rating of just 53%. Can we say that his satisfaction rating has significantly decreased among Parisians? Use a hypothesis test or a confidence interval to answer this question, showing the detailed steps of your analysis.