10. Parts a and c from the same question

Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer, You collect data from a random sample of 12 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: Hours 2 3 2.8 2 2.4 2.3 2 2.3 2.8 2.3 2.4 2.2 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? The population must be approximately normal c) Construct a 99% 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