1. An educational psychologist would like to determine whether access to computers has an effect on grades for high school students. One group of n = 16 students has home room each day in a computer classroom in which each student has a computer. A comparison group of n = 16 students has home room in a traditional classroom. At the end of the school year, the average grade is recorded for each student. The data are as follows: Computer Traditional M = 86 M = 82.5 SS= 1005 SS = 1155 a. Is there a significant difference between the two groups? Use a two-tailed test with α = .05. b. Compute Cohen’s d to measure the size of the difference. c. can we conclude that students with computer classroom scored significantly higher than the students in traditional classroom? Use α = .01.
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.
1. An educational psychologist would like to determine whether access to computers has an effect on grades for high school students. One group of n = 16 students has home room each day in a computer classroom in which each student has a computer.
A comparison group of n = 16 students has home room in a traditional
classroom. At the end of the school year, the average grade is recorded for each
student. The data are as follows:
Computer
Traditional
M = 86
M = 82.5
SS= 1005
SS = 1155
a. Is there a significant difference between the two groups? Use a two-tailed test
with α = .05.
b. Compute Cohen’s d to measure the size of the difference.
c. can we conclude that students with computer classroom scored significantly higher than the students in traditional classroom? Use α = .01.
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