The combined SAT scores for the students at a local high school are normally distributed with a mean of 1536 and a standard deviation of 305. The local college includes a minimum score of 2299 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X < 2299) = %
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.
The combined SAT scores for the students at a local high school are
What percentage of students from this school earn scores that fail to satisfy the admission requirement?
P(X < 2299) = %
Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
