ANSWER TO THIS QUESTION BY GIVING DETAILED STEPS. DO NOT SOLVE THIS QUESTION USING ANY SOFTWARE.

Connie Rodrigues, the Dean of Students at Midstate College, is wondering about grade distributions at the school. She has heard grumblings that the GPAs in the Business School are about 0.25 lower than those in the College of Arts and Sciences. A quick random sampling produced the following GPAs. Do these data indicate that there is a factual basis for the grumblings? State and test appropriate hypotheses at ? = 0.02