ACT scores at Ardrey Kell High School are Normally distributed with mean 26 and standard deviation 3. ACT scores at Providence HS are skewed to the right with mean 25 and standard deviation 5. We randomly select 25 students from AKHS and 30 students from PHS. Use the information given to describe the sampling distributions of the average ACT scores for the two samples
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.
ACT scores at Ardrey Kell High School are
We randomly select 25 students from AKHS and 30 students from PHS. Use the information given to describe the sampling distributions of the average ACT scores for the two samples. (Mean, shape, standard deviation)
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