In: Math
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 2.4 2.7 2.4 2.1 2.1 2.2 2.9 2.1
What is a point estimate for the population mean length of time. (Round answer to 4 decimal places)
Which distribution should you use for this problem? normal distribution or t-distribution
What must be true in order to construct a confidence interval in this situation?
The population standard deviation must be known
The population must be approximately normal
The population mean must be known
The sample size must be greater than 30
Construct a 90% 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
What does it mean to be "90% confident" in this problem?
There is a 90% chance that the confidence interval contains the population mean
The confidence interval contains 90% of all samples 90% of all simple random samples of size 9 from this population will result in confidence intervals that contain the population mean
Suppose that the company releases a statement that the mean time for all patients is 2 hours.
Is this possible? No Yes
Is it likely? Yes No