On the SAT, the average Writing score is 490 points and the average Math score is 547 points. The standard deviation is 89 points on each part of the test. Now suppose 61 test takes are selected. 14% of the time the sample average Math score should be less than what? (Round to four decimals)
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.
On the SAT, the average Writing score is 490 points and the average Math score is 547 points. The standard deviation is 89 points on each part of the test. Now suppose 61 test takes are selected.
14% of the time the sample average Math score should be less than what? (Round to four decimals)
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