A variable is normally distributed with mean 11 and standard deviation 2. a. Find the percentage of all possible values of the variable that lie between 7 and 14. b. Find the percentage of all possible values of the variable that exceed 9. c. Find the percentage of all possible values of the variable that are less than 10. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. a. The percentage of all possible values of the variable that lie between 7 and 14 is (Round to two decimal places as needed.) %. b. The percentage of all possible values of the variable that exceed 9 is %. (Round to two decimal places as needed.) c. The percentage of all possible values of the variable that are less than 10 is %. (Round to two decimal places as needed.)
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.
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