Final exams Anna, a language major, took final examsin both French and Spanish and scored 83 on each. Herroommate Megan, also taking both courses, scored 77 onthe French exam and 95 on the Spanish exam. Overall,student scores on the French exam had a mean of 81 anda standard deviation of 5, and the Spanish scores had amean of 74 and a standard deviation of 15.a) To qualify for language honors, a major must maintainat least an 85 average for all language courses taken.So far, which student qualifies?b) Which student’s overall performance was better?
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.
Final exams Anna, a language major, took final exams
in both French and Spanish and scored 83 on each. Her
roommate Megan, also taking both courses, scored 77 on
the French exam and 95 on the Spanish exam. Overall,
student scores on the French exam had a mean of 81 anda standard deviation of 5, and the Spanish scores had a
mean of 74 and a standard deviation of 15.
a) To qualify for language honors, a major must maintain
at least an 85 average for all language courses taken.
So far, which student qualifies?
b) Which student’s overall performance was better?
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