Question

In: Statistics and Probability

.You are interested in determining whether there is a statistically significant difference between economics and political...

.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).

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