5 Colton and Jake began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Colton took a test in English and earned a 72.9, and Jake took a test in Art History and earned a 61.9. Use the fact that all the students' test grades in the English class had a mean of 76.7 and a standard deviation of 8.9, and all the students' test grades in Art History had a mean of 66.5 and a standard deviation of 9.4 to answer the following questions. a) Calculate the z-score for Colton's test grade. z=z= b) Calculate the z-score for Jake's test grade. z=z= c) Which person did relatively better? Colton Jake They did equally well.
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.
5
Colton and Jake began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Colton took a test in English and earned a 72.9, and Jake took a test in Art History and earned a 61.9. Use the fact that all the students' test grades in the English class had a
a) Calculate the z-score for Colton's test grade.
z=z=
b) Calculate the z-score for Jake's test grade.
z=z=
c) Which person did relatively better?
- Colton
- Jake
- They did equally well.
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