connie rodriguez, the dean of students at midstate college wonders what the distribution of grades will be at the school. She has heard complaints that the GPA at the business school is lower than at the arts and sciences colleges. A quick random sample produced the following grand averages

Business 2.86 2.77 3.18 2.80 3.14 2.87 3.19 3.24 3.91 3.00 2.83

Arts & Sciences 3.35 3.32 3.36 3.63 3.41 3.37 3.45 3.43 3.44 3.17 3.26 3.18 3.14

a) verify by carrying out the corresponding operations if the variances of the two schools are equal with a confidence of 95%

b) with the support of the previous exercise, verify if the average in the school of administration is lower than in the universities of arts and sciences, with a significance of 0.05 and enter a conclusion