The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best Actor H= 46.0 o = 9.4 In a particular year, the Best Actor was 44 years old and the Best Supporting Actor was 82 years old. Best Supporting Actor H= 55.0 O = 12 Determine the z-scores for each. Best Actor: z = Best Supporting Actor: z =O (Round to two decimal places as needed.) Interpret the z-scores. The Best Actor was V the mean, which V unusual. The Best Supporting Actor was V the mean, which V unusual.
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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