On an international exam, students are asked to respond to a variety of background questions. For the 41 nations that participated in the exam, the correlation betwe the percentage of items answered in the background questionnaire (used as a proxy for student task persistence) and mean score on the exam was 0.822. Does this suggest there is a linear relation between student task persistence and achievement score? Write a sentence that explains what this result might mean. E Click the icon to view the critical values table. Does this suggest there is a linear relation between student task persistence and achievement score? Choose the best response below. O A. No, since |0.822| is less than the critical value for 30. O B. Yes, since |0.822| is less than the critical value for 30. O C. No, since |0.822| is greater than the critical value for 30. O D. Yes, since |0.822| is greater than the critical value for 30. What does this result mean? O A. Countries in which students answered a lesser percentage of items in the background questionnaire tended to have higher mean scores on the exam.
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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