If the professor grades on a curve (for example, the professor could give A's to the top 10% of the class, regardless of the score), is a student better off with a grade of 90 on the exam with a mean of 72 and a standard deviation of 9 or a grade of 73 on a different exam, where the mean is 69 and the standard deviation is 4? Show your answer statistically and explain. A student is ▼ better off OR worse off with a grade of 90 on the exam with a mean of 72 and a standard deviation of 9 because the Z value for the grade of 90 is ? and the Z value for the grade of 73 on the different exam is ? (Round to two decimal places as needed.)
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.
and a standard deviation of 9 or a grade of 73 on a different exam, where the mean is 69 and the standard deviation is 4?
Show your answer statistically and explain.
- better off OR
- worse off
Trending now
This is a popular solution!
Step by step
Solved in 2 steps