(1 point) An online used car company sells second-hand cars. For 30 randomly selected transactions, the mean price is 2700 dollars. Part a) Assuming a population standard deviation transaction prices of 140 dollars, obtain a 99% confidence interval for the mean price of all transactions. Please carry at least three decimal places in intermediate steps. Give your final answer to the nearest two decimal places , and use at least 3 decimal places in your critical value. Confidence interval: (2634.15 Part b) I Which of the following is the correct interpretation for your answer in part (a)? A. There is a 99% chance that the mean price of all transactions lies in the interval B. If we repeat the study many times, 99% of the calculated confidence intervals will contain the mean price of all transactions. C. We can be 99% confident that the mean price for this sample of 30 transactions lies in the interval D. None of the above: dit on this problem​