A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 57% C: Scores below the top 43% and above the bottom 18% D: Scores below the top 82% and above the bottom 8% F: Bottom 8% of scores Scores on the test are normally distributed with a mean of 76.376.3 and a standard deviation of 7.77.7. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
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.
A philosophy professor assigns letter grades on a test according to the following scheme.
A: Top 12% of scores
B: Scores below the top 12% and above the bottom 57%
C: Scores below the top 43% and above the bottom 18%
D: Scores below the top 82% and above the bottom 8%
F: Bottom 8% of scores
Scores on the test are normally distributed with a mean of 76.376.3 and a standard deviation of 7.77.7. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
