You want to test if there is a difference in the number of hours per month people spend partying when they are 20 versus when they are 30. You do a ten-year study and collect the date below for nine subjects. Conduct a t-test to see if there is a significant difference. Be sure to measure effect sizeParticipant 20’s 30’sA 9 7 B 8 7C 7 3D 7 8E 8 6F 9 4G 7 6H 7 7I 8 4 Effect Size Compute the following measures of effect size and explain what they tell you. Compute Cohen’s d Compute r2 Compute a confidence interval at 90%
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.
You want to test if there is a difference in the number of hours per month people spend partying when they are 20 versus when they are 30. You do a ten-year study and collect the date below for nine subjects. Conduct a t-test to see if there is a significant difference. Be sure to measure effect size
Participant 20’s 30’s
A 9 7 B 8 7
C 7 3
D 7 8
E 8 6
F 9 4
G 7 6
H 7 7
I 8 4
Effect Size
Compute the following measures of effect size and explain what they tell you.
Compute Cohen’s d
Compute r2
Compute a confidence interval at 90%
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