ngineer wishes Suppose you are a researcher ina nospitat. Tou are experimenting with a new tranquitizer. Tou collEct data from a random sample of 11 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: Hours 3 2.9 2.5 2.5 3 2.7 2.4 2.7 3 3 What is a point estimate for the population mean length of time. (Round answer to 2 decimal places) 2.79 What must be true in order to construct a confidence interval in this situation?
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.
Given, the data from a random sample of n=11 patients regarding the period of effectiveness of tranquilizer for each patient.
The point estimate for the population mean length of time is obtained as-
In order to construct a confidence interval in this situation "The population must be approximately normal"
The required standard deviation for the sample is obtained as-
The degrees of freedom is obtained as-
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