You are working at the Student Success Center at your university. You read an article by Brock (2018) that addresses ways in which universities can support under-represented minority (URM) student success. You are asked to interpret some data about the average number of credits per semester that URM students take at your university as compared to the population of all students at your university because Brock’s research showed that one of the barriers to graduation is that URM students take fewer credits per semester and therefore are unlikely to graduate in four years.
The mean number of credits taken per semester for the whole population of your university students is 15 credits/semester with a standard deviation of 4 credits/semester. The mean number of credits taken per semester for the 210 randomly selected URM students at your university (your ‘special’ sample) is 12.5 credits.
1. Complete a full hypothesis test to answer the question about mean amount of credits/semester for the URM student sample compared to the university population including writing out all 6 steps (please number each step as you go) using an alpha level of significance of .01.
2. Calculate and Interpret the 99% Confidence Interval for this problem.
3. Is the μ from the Ho in this 99% Confidence Interval? Why or why not?
4. Calculate and Interpret the Cohen’s d to understand the effect size of this problem.
5. Write down 4-5 sentences that describe what the implications are for URM students at your university based on your conclusion from the hypothesis test, confidence interval, and effect size.
6. What is the probability that we made a Type I Error in this hypothesis test? Explain what making a Type I Error means for this specific problem.