Assume the SAT verbal scores for a first year class at a university are normally distributed with mean 520 and standard deviation 75. a) The top 10% of the students are places into the honors program for English. What is the lowest score for admittance into the honors program? b) What is the range of the middle 90% of the SAT verbal scores at this univeristy? c) Find the 98th percentile of the SAT verbal scores.
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.
Assume the SAT verbal scores for a first year class at a university are
a) The top 10% of the students are places into the honors program for English. What is the lowest score for admittance into the honors program?
b) What is the
c) Find the 98th percentile of the SAT verbal scores.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
