performance and achievement in the national achievement test (NAT). At the end of academic year, she gathers the data and came up with the following table. If the set level of significance a = 0.05, is there a significant relationship between classroom performance and achievement in the national achievement test (NAT)? 98 96 94 88 91 77 86 71 59 63 84 79 75 12 86 85 71 93 s0 62 Achievement GPA 3.6 2.7 3.1 4.0 3.2 3.0 3.8 2.6 3.0 22 1.7| 3.1 2.6 2.9 2.4 3.4 2.8 3.7 3.2 | 1.6
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.
![3. A teacher would like to know if there is a linear correlation between a student's classroom
performance and achievement in the national achievement test (NAT). At the end of academic
year, she gathers the data and came up with the following table. If the set level of significance a
= 0.05, is there a significant relationship between classroom performance and achievement in
the national achievement test (NAT)?
Achievement
98
96
94
88
91
77
86
71 59
63
84
79
75
72
86
85
71
93
90
62
GPA
3.6
2.7 3.1
4.0
3.2 3.0 | 3.8
2.6 | 3.0 | 2.2
1.7| 3.1
2.6 2.9
2.4
3.4| 2.8
3.7
3.2 1.6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9bdfbeb0-e7d7-42c1-99f2-d313c16df58b%2F9f453723-162f-4835-88d5-4532573aac99%2Fua7q5mv_processed.png&w=3840&q=75)
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