In each of Exercises, the quantitative data set under consideration has roughly a bell-shaped distribution. Apply the empirical rule to solve each exercise. The data set has mean 10 and standard deviation 3. Fill in the following blanks: a. Approximately 68% of the observations lie between _______ and _______.b. Approximately 95% of the observations lie between _______ and _______.c. Approximately 99.7% of the observations lie between _______ and _______.
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.
In each of Exercises, the quantitative data set under consideration has roughly a bell-shaped distribution. Apply the
The data set has mean 10 and standard deviation 3. Fill in the following blanks:
a. Approximately 68% of the observations lie between _______ and _______.
b. Approximately 95% of the observations lie between _______ and _______.
c. Approximately 99.7% of the observations lie between _______ and _______.
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