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: Hours 2.5 3 2.9 2.8 2.7 2.3 2.8 2. 2.8 What is a point estimate for the population mean length of time. (Round answer to 2 decimal places) 2.64 What must be true in order to construct a confidence interval in this situation? The population must be approximately normal Construct a 98% confidence interval for the population mean length of time. (Round the critical value to 3 decimal places. Round upper and lower bounds to 2 decimal places.) What does it mean to be "98% confident" in this problem? 98% of all confidence intervals found using this same sampling technique will contain the population mean time. O There is a 98% chance that the confidence interval contains the sample mean time.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps