Data from a state indicate that scores on the SAT test are normally distributed with a mean of 994 and a standard deviation of 204. Scores on the ACT test are normally distributed with a mean of 20 and a standard deviation of 5.1. It is assumed that the two tests measure the same aptitude, but use different scales. If a student gets an SAT score that is the 77 percentile, find the actual SAT score. Round answer to a whole number. SAT score = What would be the equivalent ACT score for this student? Round answer to 1 decimal place. ACT score = If a student gets an SAT score of 1280, find the equivalent ACT score. Round answer to 1 decimal place. ACT score =
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.
Data from a state indicate that scores on the SAT test are
If a student gets an SAT score that is the 77 percentile, find the actual SAT score. Round answer to a whole number.
SAT score =
What would be the equivalent ACT score for this student? Round answer to 1 decimal place.
ACT score =
If a student gets an SAT score of 1280, find the equivalent ACT score. Round answer to 1 decimal place.
ACT score =
Consider X be the random variable representing the scores on the SAT test. X follows normal distribution with mean 994 and standard deviation 204.
Let the actual SAT score be "a". The value of the "a" can be calculated as:
SAT score = 1145
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