A researcher wants to study the effectiveness of a new job skills training program for people who have not been able to hold a job. Fourteen people who have not been able to hold a job agree to be in the study. The researcher randomly picks 6 of these volunteers to be an experimental group that will go through the special training program. The other 8 volunteers are put in a control group that will go through an ordinary job skills training program. After finishing their training program (of whichever type), all 14 are placed in similar jobs.
A month later, each volunteer is rated on their performance using a 9-point scale. The mean of the employees in the special training program was 10, with a standard deviation of 1.9. The mean of the employees in the ordinary training program was 7, with a standard deviation of 2.4. Answer the following questions:
a) What is the independent variable? What is its scale of measurement?
b) What is the dependent variable? What is its scale of measurement?
c) State the null and alternative hypotheses for this study.
d) Calculate the appropriate t-test and determine whether there is a significant difference between the two training programs. Assume α = .01. Show the calculated t, the tcv, and the decision; please show all work.
e) Write up the results using APA format.
f) Calculate the limits of the 95% confidence interval for the difference between the two population means.
g) Do the results of the confidence interval differ from the results of the t-test? Why or why not?