Suppose a UC researcher is interested in knowing the statistics skills of first-year graduate
students in Ohio in 2020 as compared to the skills for those in 2019. It is known that on a
statistics test for the first-year grad students in Ohio in 2019 the population mean is 75 (on a
scale of 0–100) with a population standard deviation of 10. To answer the research question,
the UC researcher draw a random sample of first-year grade students in 2020 in Ohio and
administer a comparable statistics test. The researcher is interested in knowing where the
first-year grad students in 2020 perform differently from those in 2019 on the statistics test,
and so the researcher wanted to test the null hypothesis H0: µ = 75. Assume that the
researcher chose a = .05 with a two-tailed test, and so the critical values are -1.96 and + 1.96