Educational Technology, Inc. sells software to provide guided homework problems for a statistics course. They would like to know if students who use the software score better on exams. A sample of students who used the software had the following exam scores: 86, 78, 66, 83, 84, 81, 84, 109, 65, and 102. Students who did not use the software had the following exam scores: 91, 71, 75, 76, 87, 79, 73, 76, 79, 78, 87, 90, 76, and 72. Assume the population standard deviations are same. At the .10 significance level, can we conclude that there is a difference in the mean exam scores for the two groups of students?
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.
Educational Technology, Inc. sells software to provide guided homework problems for a statistics course. They would like to know if students who use the software score better on exams.
A sample of students who used the software had the following exam scores: 86, 78, 66, 83, 84, 81, 84, 109, 65, and 102.
Students who did not use the software had the following exam scores: 91, 71, 75, 76, 87, 79, 73, 76, 79, 78, 87, 90, 76, and 72.
Assume the population standard deviations are same. At the .10 significance level, can we conclude that there is a difference in the mean exam scores for the two groups of students?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
