Afederal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is conducting research in order to update its fuel economy standards for the year 2030. Automobile manufacturers, and consumers, are highly interested in what the agency's ndings and determinations will be as this will affect every vehicle in the United States. The federal government agency is ven interested in the relationship between the weight of a vehicle and the vehicle's fuel economy (average miles per gallon (MPG)). Specically, the agency is concerned that if the current trend of automobile manufacturers producing heavier new vehicles continues that its fuel economy targets will not be met. The agency's research department recently collected data for analysis in order to support the agency's upcoming discussion with industry regarding its proposed 2030 fuel economy standards. The average MPG from a random sample of 750 vehicles was recently calculated by the agency. The research division alsc collected the vehicle weight of these 750 randomly sampled vehicles. The Vehicle Number, Type, Vehicle Weight, Average MPG, Fuel Tank Size (Gallons), Engine Size (Liters), and Meet or Not Meet Current Standards data were collected for these 750 vehicles. StatCrunch Data Set Agency leadership decides to use the vehicle weight data from its random sample of 750 vehicles to estimate the mean vehicle weight of all passenger vehicles currently on the road. Construct a 95% One- Sample T condence interval for the mean vehicle weight of all passenger vehicles currently on the rcad. Assume that all necessary Central Limit Theorem conditicns for a OneSample T condence interval have been met. What is the 95% lower limit? (Rcund to two decimal places as needed.) What is the 95% upper limit? (Round to two decimal places as needed.) Using the 95% confidence interval, would it be plausible to conclude that the mean vehicle weight of all passenger vehicles currently on the road is 2500 pounds? O A. Yes, since 2500 lies within the constructed confidence interval. O B. No, since 2500 lies outside the constructed confidence interval. O C. Yes, since 2500 lies outside the constructed confidence interval. O D. No, since 2500 lies within the constructed confidence interval.Explain why the agency would construct a confidence interval instead of collecting vehicle weight information of all passenger vehicles currently on the road. BIUST X2 X? Insert Formula