Twenty college students took a practice GRE test at the start and end of a home preparation course. What analysis would you suggest to see if there was a significant change in their quantitative scores?
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.
![**Question:**
Twenty college students took a practice GRE test at the start and end of a home preparation course. What analysis would you suggest to see if there was a significant change in their quantitative scores?
**Options:**
- ○ Student’s t-test for paired observations
- ○ Student’s t-test for two independent groups
- ○ Z-test for a binomial proportion
- ○ One factor ANOVA
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This question is designed to assess understanding of statistical methods used to evaluate changes in test scores over time. Since the same group of students is tested twice, the appropriate analysis is the **Student’s t-test for paired observations**. This test checks if there's a significant difference in means between the two time points.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a331355-eac3-437e-bec7-6442c8371e3e%2Febc39ad4-552e-4016-8823-562a582e4fd6%2Fs045bw_processed.jpeg&w=3840&q=75)
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