Sara and Mark are students at Business University graduated from different majors as follow: - Sara has graduated with a Finance diploma with an average of 72, where the averages of the finance students are normally distributed with a variance of 49 and a mean of 63. - Mark has graduated with a Marketing diploma with an average of 75, where the averages of the marketing students are normally distributed with a variance of 64 and a mean of 66. Questions (support your answer by drawing some figures): a- Is it true that Mark (as a marketing student) has a better performance than Sara (as a finance student)? Explain your answer b- What method can you use to compare the academic performance of Sara and Mark? And who is the better student according to this method?
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.
Sara and Mark are students at Business University graduated from different majors as follow:
- Sara has graduated with a Finance diploma with an average of 72, where the averages
of the finance students are
63.
- Mark has graduated with a Marketing diploma with an average of 75, where the
averages of the marketing students are normally distributed with a variance of 64 and
a mean of 66.
Questions (support your answer by drawing some figures):
a- Is it true that Mark (as a marketing student) has a better performance than Sara (as a
finance student)? Explain your answer
b- What method can you use to compare the academic performance of Sara and Mark?
And who is the better student according to this method?
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