6 (18 points): Two-Sample Hypothesis Test for the Mean (Independent Samples) Do math students in Dr. Buckeye's class (Group 1) perform the same on a standardized assessment test as those in Dr. Burrow's class (Group 2)? The Dean for the College of Mathematics & Sciences believes there is a difference in the mean test score. Test this hypothesis using the data provided in the 'MGT6460 Homework 3' file ('MGT6460 HW3 Prob 6' sheet). Assume unequal variances. a. (5 points) Formulate the null and alternative hypotheses. Label the claim. b. (8 points) Test the claim at the 5% level of significance. State the decision rule. c. (5 points) State a conclusion about the claim in terms of the real-world significance of the