Maria and Zoe are taking Biology 105 but are in different classes. Maria’s class has an average of 78% with a standard deviation of 5% on the midterm, while Zoe’s class has an average of 83% with standard deviation of 12%. Assume that scores in both classes follow a normal distribution. A. Convert Maria’s midterm score of 84 to a standard z score. B. Convert Zoe's midterm score of 89 to a standard z score. C. Who do you think did better relative to their class?
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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