The owner of a math tutoring company wanted to advertise that students that received tutoring from them scored significantly higher on the math section of the SAT than the general population. Students receiving tutoring (n = 25) took the SAT and reported their score on the math section. The owner knew the population average for the math section is 523 with a standard deviation of 117. The owner would like to compare the student averages to see if they preformed significantly different from the general population. Which of the following statistical tests should she use? z-Test one-sample t-Test independent sample t-test dependent sample t-test
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 owner of a math tutoring company wanted to advertise that students that received tutoring from them scored significantly higher on the math section of the SAT than the general population. Students receiving tutoring (n = 25) took the SAT and reported their score on the math section. The owner knew the population average for the math section is 523 with a standard deviation of 117. The owner would like to compare the student averages to see if they preformed significantly different from the general population. Which of the following statistical tests should she use?
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z-Test |
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one-sample t-Test |
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independent sample t-test |
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dependent sample t-test |
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