In: Statistics and Probability
1. According to a report by the American Psychological Association (APA), there has been a 30% increase in students seeking appointments at college counseling centers between 2009-10 and 2014-15, even though student enrollment grew by only 5% during this time. Thus, as we move into final exams, I am interested in better understanding the stress levels of my PSY 292 students. Specifically, I would like to know whether the average stress level of my students (N=33) is significantly different than that of U.S. undergraduates. According to the APA report, the mean stress score as indicated by the Stress Indicators Questionnaire (SIQ) for U.S. undergraduates is 5.6 with a standard deviation of 1.4. The mean SIQ stress score for my classroom is 4.0 with a standard deviation of 1.1. α = 0.005.
a. Is this a non-directional or directional test? How do you know?
b. What is the parameter of interest?
c. Which inference test would you use? Why?
d. Is this a one tail or two tailed test? How do you know?
e. Write the null and research hypotheses. Interpret what the hypotheses convey.
f. If the p value for this test was less than alpha, what would this indicate?
g. The p value for this test equals 0.011. I interpret this to mean there is 1.1% chance that my H0 is true. Explain why I am mistaken.