Example: The statistics classroom is divided into three rows: front, middle, and back The instructor noticed that the further the students were from him, the more likely they were to miss class or use an instant messenger during class He wanted to see if the students further away did worse on the exams. A random sample of the students in each row was taken. The score for those students on the second exam was recorded Front: (82, 83, 97, 93, 55, 67, 53. n=t Middle: 83, 78, 68, 61, 77, 54, 69, 51, 63 na 9 Back: 38, 59, 55, 66, 45, 52, 52, 61 n: 8
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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