You may need to use the appropriate appendix table or technology to answer this question. A professor at a local university noted that the grades of her students were normally distributed with a mean of 79 and a standard deviation of 10. (Round your answers to one decimal place.) (a) The professor has informed us that 16.6 percent of her students received grades of A. What is the minimum score needed to receive a grade of A? (b) If 12.1 percent of her students failed the course and received F's, what was the maximum score among those who received an F? (c) If 33 percent of the students received grades of B or better (i.e., A's and B's), what is the minimum score of those who received a B?
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.
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