During spring semester 2014 a team of statistics students compared grade point averages of university students who live on campus with students who live off campus. The team was interested in determining whether there are differences in the actual mean grade point averages for the two student groups. Samples of grade point averages are given below:

During spring semester 2014 a team of statistics students compared grade point averages of university students who live on campus with students who live off campus. The team was interested in determining whether there are differences in the actual mean grade point averages for the two student groups. Samples of grade point averages are given below: On-campus GPAs 2.2 3.4 4.0 3.1 2.9 2.9 2.8 2.6 3.5 2.2 2.9 3.6 3.3 3.8 3.0 2.8 3.3 3.2 3.0 2.8 3.2 3.0 2.5 2.5 Off-campus GPAs 2.8 3.4 2.2 2.9 2.6 2.9 3.0 2.8 2.9 2.6 3.5 2.5 3.7 2.7 2.7 2.7 2.9 3.0 2.7 2.9 2.5 2.5 3.5 3.2 a). At 5% level of significance, is there sufficient evidence of a difference in the actual mean grade point average between the two student groups? Your conclusion must be in terms of the P-Value. Show all necessary work. b). What type of error is possible and describe this error in terms of the problem? c). Estimate the difference in the actual mean grade point average between the two student groups using a 95% confidence interval. Using this interval estimation, is there sufficient evidence to indicate that the actual mean grade point average differs between the two student groups? Explain Carefully. d). Carefully interpret the confidence interval estimation