2. Suppose the average weight of automobile is normally distributed with an unknown population mean and an unknown population standard deviation. Suppose you are interested in estimating the true mean weight of all automobiles, and you obtain the weights of the following simple random sample: Car Model Auto Weight (Pounds) 2022 Tesla Model S 4726 2019 Toyota Prius L Eco 3210 2017 Honda Civic 2739 2015 Mitsubishi Mirage 1972 2013 MINI Cooper Hatchback 2957 2018 BMW X5 4680 2023 Ford F-150 4021 2018 Chevrolet Corvette GS 3482 2019 Alli Romeo 4C 2315 Problem continued on next page 2n. What is the value of your simple mean (give symbol and value to 1 decimaly? b. Check the assumptions needed to use the normal model? c. Use this table to constrict a 97% confidence interval around the sample mean (round the endpoints of your intervals to the nearest tenth of a pound). Show me the calculator inputs that you used. d. Clearly explain what this interval means in words (We are _% confident ...) e. State the 90% confidence interval (round to nearest tenth of a pound.) f. Is the 97% CI larger (wider) or smaller than the 90% CI