In: Statistics and Probability
.You are interested in determining whether there is a
statistically significant difference between
economics and political science majors in terms of their overall
grade point average (GPA). You
randomly sample 10 economics majors and 16 political science
majors. You find that the average
economist has a 3.0 GPA with a standard deviation of 0.4, and the
average political scientist has
a 3.4 GPA with a standard deviation of 0.3. Conduct a two-tailed
hypothesis test using
significance level α = 0.05. Clearly state the hypotheses, the test
statistic, the p-value, and your
conclusion (in complete, plain language sentences).