From chapter 14, review activity #18. A survey of 1000 students nationwide showed a mean ACT score of 21.4 with a standard deviation of 4.85. A survey of 500 Ohio scores showed a mean of 20.8 with a standard deviation of 3.68. Can we conclude that Ohio is below the national average? Calculate the test statistic. National Ohio XA = 21.4 X3 = 20.8 %3D SA = = 4.85 S3 = 3.68 Na = 1000 SB = 500 A) 2.46 B) 2.67 C) 5.44 D) 5.21 E) 1.90
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.
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