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 between the percentage of items answered in the background questionnaire (used as a proxy for student task persistence) and mean score on the exam was 0.762.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. Does this suggest there is a linear relation between student task persistence and achievement score? Choose the best response below. A.No, since 0.762 is greater than the critical value for 30. B.Yes, since 0.762is greater than the critical value for 30. C.No, since 0.762 is less than the critical value for 30. D.Yes, since 0.762 is less than the critical value for 30
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.
n
|
|
---|---|
3
|
0.997
|
4
|
0.950
|
5
|
0.878
|
6
|
0.811
|
7
|
0.754
|
8
|
0.707
|
9
|
0.666
|
10
|
0.632
|
11
|
0.602
|
12
|
0.576
|
13
|
0.553
|
14
|
0.532
|
15
|
0.514
|
16
|
0.497
|
17
|
0.482
|
18
|
0.468
|
19
|
0.456
|
20
|
0.444
|
21
|
0.433
|
22
|
0.423
|
23
|
0.413
|
24
|
0.404
|
25
|
0.396
|
26
|
0.388
|
27
|
0.381
|
28
|
0.374
|
29
|
0.367
|
30
|
0.361
|
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