. A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 73 and a standard deviation of 8. If the professor grades on a curve (i.e., gives As to the top 10 percent of the class, regardless of the score), are you better off with (i) Option 1: a grade of 81 on this exam with a mean of 73 and a standard deviation of 8 or (ii) Option 2: a grade of 68 on a different exam where the mean is 62 and the standard deviation is 3?
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.
Q5. A set of final examination grades in an introductory statistics course is
If the professor grades on a curve (i.e., gives As to the top 10 percent of the class, regardless of the score), are you better off with (i) Option 1: a grade of 81 on this exam with a mean of 73 and a standard deviation of 8 or (ii) Option 2: a grade of 68 on a different exam where the mean is 62 and the standard deviation is 3?
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