Suppose that you would like to determine if the use of the newest Sweeney education intervention will improve students understanding of statistics better than the use of no intervention. In order to do this, you select two groups of students at random from students who need to take Statistics: a group given the intervention and another group that is given the standard statistics class. At the end of the course, the students were given an exam and the exam scores were compared. Group 1: Students given the intervention Group 2: Students in the standard Statistics class Use this information to answer the following questions: a. What test should you run and why? b. What is the null hypothesis? What is the alternative hypothesis? c. What requirements would have to be met to insure that you could run the test?
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.
Suppose that you would like to determine if the use of the newest Sweeney education
intervention will improve students understanding of statistics better than the use of no intervention. In order to do this, you select two groups of students at random from students who need to take Statistics: a group given the intervention and another group that is given the standard statistics class. At the end of the course, the students were given an exam and the exam scores were compared.
Group 1: Students given the intervention
Group 2: Students in the standard Statistics class
Use this information to answer the following questions:
a. What test should you run and why?
b. What is the null hypothesis? What is the alternative hypothesis?
c. What requirements would have to be met to insure that you could run the test?
Let,
Group 1: Students are given the intervention
Group 2: Students in the standard Statistics class
Here, to use a t-test for independent samples as the Independent Samples t-Test compares the mean scores of two independent groups in order to determine whether there is statistical evidence that the associated population mean score of Group1 is significantly greater than the population mean score of Group2.
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