A high school teacher would like to examine his students’ exam scores based on seating arrangements. He assigned n = 15 students to sit in the last three rows of his class and n = 15 students to sit in the first three rows. Each student received a 45-minute lecture for one week and were given the same exam the following school day. The front row students had a mean of M = 78 with SS = 10.50 on their exam. And the back row students had a mean of M = 72 with SS = 8.90. Is there a significant difference in exam scores? Test with = .05.
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 high school teacher would like to examine his students’ exam scores based on seating arrangements. He assigned n = 15 students to sit in the last three rows of his class and n = 15 students to sit in the first three rows. Each student received a 45-minute lecture for one week and were given the same exam the following school day. The front row students had a mean of M = 78 with SS = 10.50 on their exam. And the back row students had a mean of M = 72 with SS = 8.90. Is there a significant difference in exam scores? Test with = .05.
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