A group of 20 students were given an achievement test under two conditions: (i) when tense (ii) when relaxed. Test the significance of the difference between means at .05 level on the basis of the following data: Roll No. Score when tense Score when relaxed Roll No. Score when tense Score when relaxed 1 18 20 11 10 10 2 16 22 12 8 12 3 18 24 13 20 22 4 12 10 14 12 14 5 20 25 15 16 12 6 17 19 16 16 20 7 18 20 17 18 22 8 20 21 18 20 24 9 22 23 19 18 23 10 20 20 20 21 17
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.
A group of 20 students were given an achievement test under two conditions: (i) when tense
(ii) when relaxed. Test the significance of the difference between means at .05 level on the basis
of the following data:
Roll No. Score when
tense
Score when
relaxed
Roll No. Score when
tense
Score when
relaxed
1 18 20 11 10 10
2 16 22 12 8 12
3 18 24 13 20 22
4 12 10 14 12 14
5 20 25 15 16 12
6 17 19 16 16 20
7 18 20 17 18 22
8 20 21 18 20 24
9 22 23 19 18 23
10 20 20 20 21 17
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