Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of $ patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: You intend to estimate a population mean / from the following sample. 51.7 14.1 69.2 12.3 2.8 35.2 60.7 21 56.6 195 45.4 35.8 51.3 47.1 65.5 58.8 47.2 55.5 44.5 69 27.9 65.7 71.4 684 72.4 What is a point estimate for the population mean length of time. (Round 59.4 55.3 4.2 57.5 answer to 4 decimal places) 40.5 5.6 47.1 29.5 50.2 50.6 51.5 38.4 Which distribution should you use for this problem? 77.4 60.4 48.1 21.4 Ot-distribution 42.8 70.3 67.9 74.8 Onormal distribution 36.2 11.3 45.5 13.5 50.6 37.9 35.7 21.3 What must be true in order to construct a confidence interval in this situation? 8.3 82.2 82.4 26.8 O The sample size must be greater than 30 2.1 20.3 O The population must be approximately normal The population mean must be known Find the 99.99% confidence interval. Enter your answer as a tri-linear inequality O The population standard deviation must be known accurate to two decimal place (because the sample data are reported accurate to Construct a 95% confidence interval for the population mean length of time. one decimal place). Enter your answer as an open-interval (ie., parentheses) Round upper and lower bounds to two decimal places What does it mean to be "95% confident" in this problem? O The confidence interval contains 95%% of all samples Answer should be obtained without any preliminary rounding. However, the critical 095't of all simple random samples of size 8 from this population will value may be rounded to 3 decimal places. result in confidence intervals that contain the population mean O There is a 95% 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? ON OYes Is it likely? OYes OND The high temperatures (in degrees Fahrenheit) of a random sample of 10 small towns are: 98 96.9 96.5 98.2 96.7 98.6 97.4 97.5 97.3 98.9 Assume high temperatures are normally distributed. Based on this data, find the 95% confidence interval of the mean high temperature of towns. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place). 95% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places
