suppose you are a researcher in a hospital You are experimenting with a new tranquilizer You collect data from a random sample of 9 patients The period of effectiveness of the tranquilizer for each patient in hours is as follows 2 5 2 5 2 8 3 2 8 2 4 2 1 2 3 What is a point estimate for the population mean length of time Round answer to 4 decimal places 2 points Which distribution should you use for this problem 1 point O normal distribution Ot distribution What must be true in order to construct a confidence interval in this situation 1 point O The population mean must be known O The population standard deviation must be known O The sample size must be greater than 30 O The population must be approximately normal Construct a 99 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 two decimal places 4 points What does it mean to be 99 confident in this problem 2 points O 99 of all simple random samples of size 9 from this population will result in confidence intervals that contain the population mean O The confidence interval contains 99 of all samples O There is a 99 chance that the confidence interval contains the population mean Suppose that the company releases a statement that the mean time for all patients is 2 hours Is this possible 1 point