Suppose that a Fire Department aims to have an average response time of 4 minutes. Historical accounts show that response time has a standard deviation of 1 minute. Suppose you collected a random sample of 40 observations where the average response time in the sample was 3.75 minutes. a) At 10% level of significance, is there enough evidence to conclude that average response time is significantly different than 4 minutes in the population Conduct the necessary hypothesis test and illustrate your answer using a graph below . b) Calculate the p-value associated with your test statistic and show it on the graph drawn in part a) Confirm the result of your test using the p-value. Would the outcome of your test be any different if the level of significance were 5% instead? Explain. c) Construct confidence interval for the average response time in the population at the 90% level of confidence assurning that the population standard deviation is known. Interpret your interval. Does your confidence interval support the result of your hypothesis test from part a)? Explain