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 l 0.762 l is greater than the critical value for 30. B.Yes, since l 0.762 l is greater than the critical value for 30. C.No, since l 0.762 l is less than the critical value for 30. D. Yes, since l 0.762 l is less than the critical value for
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
|
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images