Please give this assignment to Parvesh. Thank you.
Question 1: A federal 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 findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy (average miles per gallon (MPG)). Specifically, 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 also 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. Agency leadership is interested in analyzing the engine sizes of this sample of 750 vehicles. (Use the mean and standard deviation of the Engine Size (L) data. Also, if appropriate based upon your visual analysis of a histogram of the Engine Size (L) data, use the Normal distribution to answer this question.) Calculate the probability of randomly selecting a vehicle with an engine size less than 2.7 L. enter your response here% (Round to two decimal places as needed.) Part 2 Calculate the probability of randomly selecting a vehicle with an engine size greater than 3.9 L. enter your response here% (Round to two decimal places as needed.) Part 3 Calculate the probability of randomly selecting a vehicle with an engine between than 3.1 L and 4.2 L. enter your response here% (Round to two decimal places as needed.) Part 4 Calculate the engine size that represents the 10th percentile of this sample. enter your response here L (Round to two decimal places as needed.) Question 2: A federal 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 findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy (average miles per gallon (MPG)). Specifically, 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 also 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 is very interested in trend analysis. Using the 750 randomly selected vehicles as their sample, data was collected to determine which vehicles currently meet or exceed fuel economy standards and which vehicles currently do not meet fuel economy standards. This information is found in the Meet or Not Meet Current Standards column. Agency leadership asks your team to construct a 95% One-Sample proportion confidence interval for the population proportion of all vehicles that meet current fuel economy standards. Assume that all necessary Central Limit Theorem conditions for a One-Proportion confidence interval have been met. What is the 95% lower limit? enter your response here% (Round to two decimal places as needed.) What is the 95% upper limit? enter your response here% (Round to two decimal places as needed.) Using the 95% confidence interval, would it be plausible to conclude that the population proportion of vehicles that currently meet fuel economy standards is 90%? A. Yes, since 90% lies outside the constructed confidence interval. B. No, since 90% lies within the constructed confidence interval. C. Yes, since 90% lies within the constructed confidence interval. D. No, since 90% lies outside the constructed confidence interval. Question 3: A federal 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 findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy (average miles per gallon (MPG)). Specifically, 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 also 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 run a One Proportion hypothesis test to determine if the proportion of all vehicles that meet or exceed current fuel economy standards is less than 90%. Assume that all necessary Central Limit Theorem conditions for a One-Proportion Z-test have been met. What is the appropriate null hypothesis in this case? The proportion of all vehicles that meet or exceed current fuel economy standards is -------------90% ▼ equal to greater than less than not equal to What is the appropriate alternative hypothesis in this case? The proportion of all vehicles that meet or exceed current fuel economy standards is ------------- 90% equal to not equal to less than greater than What is the test statistic for this hypothesis test? The test statistic is enter your response here. (Round to two decimal places as needed.) What is the p-value for this hypothesis test? The p-value is enter your response here. (Round to three decimal places as needed.) What would you conclude based on an α=0.05 level? We -------------------- ▼ reject fail to reject the null hypothesis and ------------------------------------ ▼ accept do not accept the alternative hypothesis since there ---------------------- ▼ is not is sufficient evidence that the proportion of all vehicles that meet or exceed current fuel economy standards is ------------------------------ ▼ greater less than 90% due to the p-value being ----------------------------------- than the α level. ▼ greater less Explain the results of your hypothesis test. What does the p-value signify? Would you say the observed outcome was unusual? If so, how unusual was the outcome? Question 4: A federal 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 findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy (average miles per gallon (MPG)). Specifically, 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 also 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 confidence interval for the mean vehicle weight of all passenger vehicles currently on the road. Assume that all necessary Central Limit Theorem conditions for a One-Sample T confidence interval have been met. What is the 95% lower limit? (Round to two decimal places as needed.) Part 2 What is the 95% upper limit? enter your response here (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? A. Yes, since 2500 lies within the constructed confidence interval. B. No, since 2500 lies outside the constructed confidence interval. C. Yes, since 2500 lies outside the constructed confidence interval. 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. Question 5: A federal 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 findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy (average miles per gallon (MPG)). Specifically, 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 also 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 90% One-Sample T confidence interval for the mean vehicle weight of all passenger vehicles currently on the road. Assume that all necessary Central Limit Theorem conditions for a One-Sample T confidence interval have been met. What is the 90% lower limit? (Round to two decimal places as needed.) Part 2 What is the 90% upper limit? enter your response here (Round to two decimal places as needed.) Using the 90% confidence interval, would it be plausible to conclude that the mean vehicle weight of all passenger vehicles currently on the road is 2400 pounds? A. Yes, since 2400 lies within the constructed