In an effort to improve the mathematical skills of 10 students, a teacher providesa weekly 1-hour tutoring session for the students. A pre- test is given before the sessions, and a posttest is given after. The results are shown here. At α = 0.01, can itbe concluded that the sessions help to improve the students’ mathematical skills? Student 1 2 3 4 5 6 7 8 9 10 Pretest 82769162816771698085 Posttest 88 80 98 80 80 73 74 78 85 93
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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In an effort to improve the mathematical skills of 10 students, a teacher provides
a weekly 1-hour tutoring session for the students. A pre- test is given before the sessions, and a posttest is given after. The results are shown here. At α = 0.01, can it
be concluded that the sessions help to improve the students’ mathematical skills? -
Student 1 2 3 4 5 6 7 8 9 10
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Pretest 82769162816771698085
-
Posttest 88 80 98 80 80 73 74 78 85 93
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