Cia Suppose you are a researcher in a hospital. You are experimenting with a new sedative. You collect data from a random sample of 13 patients. The period of effectiveness of the sedative for each patient (in hours) is as follows: Hours 2.3 2.7 2.7 2.4 2.6 2.5 2 2.4 2.4 2 2.4 3 2.8. a) What is a point estimate for the population mean length of time? (Round answer to 4 decimal places) b) What must be true in order to construct a confidence interval in this situation? Select an answer c) Construct a 95% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.e., parentheses example (5.2314,8.1245)) Round upper and lower bounds to 4 decimal places. d) What does it mean to be "95% confident" in this problem? 95% of all confidence intervals found using this same sampling technique will contain the population mean time. 95% of all times will fall within this interval. O The confidence interval contains 95% of all sample times. O There is a 95% chance that the confidence interval contains the sample mean time. e) Suppose that the company releases a statement that the mean time for all patients is 2 hours.