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: 2.3 2 2.8 2.8 2.7 2.5 2.3 2.6 2.4 Copy and paste the data into StatKey, CI for Means, ... , 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 too. A. What is a point estimate for the population mean length of time. (Round answer to 3 decimal places) B. Construct a 95% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.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 "95% confident" in this problem? Use the definition of confidence level. There is a 95% chance that the confidence interval contains the population mean. The confidence interval contains 95% of all samples. 95% of all simple random samples of size 10 from this population will result in confidence intervals that contain the population mean. E. Suppose that the company releases a statement: The mean time for all patients is 2 hours. a. Is this possible? Yes No b. Is it likely? Yes No F. Use the results above and make an argument in favor or against the company's statement. Include all of the following in your essay. a. Describe the population and parameter for this situation. b. Describe the sample and statistic for this situation. c. Give a brief explanation of what a confidence interval is. d. Explain what type of confidence interval you can make in this situation and why. e. Interpret the confidence interval for this situation. f. Restate the company's claim and whether you agree with it or not. g. Use the confidence interval to estimate the likelihood of the company's claim being true. h. Suggest what the company should do. Edit - Insert * Formats. B I U X X A A