A highly anticipated sci-fi movie opened in theaters with a special midnight showing this past Friday. For the Saturday edition of his town's newspaper, Felipe wrote a column about local interest in the movie. He found that the attendance for the midnight showing at his town's theater was 245 people. For all the theaters in the state, attendance at the midnight showing had a mean of 288 people with a standard deviation of 17 people. Find the z-score of the attendance at the theater in Felipe's town relative to the attendances among all the theaters in the state. Round your answer to two decimal places.
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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