Qustion

For mountain highways, it is common to use tunnels to go through a mountain rather than around it. However, too many vehicles in a tunnel at the same time can be dangerous. For a particular tunnel, trafc engineers discover the time it takes a vehicle to go through the tunnel is Normally distributed with a mean of 12.7 minutes and standard deviation of 3.6 minutes. Under normal conditions, there are typically 25 vehicles in the tunnel at one time. Engineers need to know what the sampling distribution of the sample mean is when n is 25. Consider the following plots and match the distribution to the population or the sampling distribution. PLOT A A 1.9 5.5 9.1 12.7 16.3 19.9 23.5 PLOT B A 10.6 11.3 12.0 12.? 13.4 14.1 14.9 Which plot represents the distribution of travel time through the tunnel for all cars? Plot A or Plot B Which plot represents the sampling distribution of average travel time through the tunnel for a sample of 25 oars? Plot A or Plot B The probability the average time for 25 vehicles will be between 11 and 13 minutes E Find the 2.5th percentile =12