Carla and Nadine are good students. The results of their math tests were as follows: Student Math Test Score Science Test Score Carla 87 92 Nadine 78 95 Class Mean (X) 68 84 Class SD (s) 8.5 11.5 a. What are the standard scores (z scores) for Carla and Nadine in math? b. If a larger z score means a better score, who received the higher grade and on which test (math or science)? C. Who is the overall better student and why?
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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