Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 10 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: 2.8 2.4 2.8 2.3 2 2.7 2.8 2.1 2 2.5 Copy and paste the data into StatKey, CI for Means, ... E, by using the Edit Data option. Generate at least 6000 samples, and then set up the two-tail interval. Alternatively, you may use Megastat to construct the confidence interval. A. What is a point estimate for the population mean length of time. (Round answer to 3 decimal places) B. Construct a 80% confidence interval for the population mean length of time. Enter your answer as an open-interval(.e. parentheses) Round upper and lower bounds to three decimal places. C. Interpret the confidence interval in a complete sentence. Make sure you include units D. What does it mean to be "80% confident" in this problem? Use the definition of confidence level. O There is a 80% chance that the confidence interval contains the population mean. O 80% of all simple random samples of size 10 from this population will result in confidence intervals that contain the population mean. The confidence interval contains 80% of all samples. E. Suppose that the company releases a statement: The mean time for all patients is 2 hours. a. Is this possible? Yes O NO b. Is it likely? Yes No