The data file has 50 randomly selected student debt amounts from 2018 and 50 randomly selected student debt amounts from 2013. The data fields included are as follows: Debt in 2018 (dollars) Debt in 2013 (dollars) A university representative wants to know whether the sample data provide enough evidence to believe there is a difference between the debt amounts in the two years. The null and alternative hypotheses are shown below. Null Hypothesis: Mean Student Debt in 2018 is equal to Mean Student Debt in 2013 Alternative Hypothesis: Mean Student Debt in 2018 is not equal to Mean Student Debt in 2013 Complete the following tasks: 1. Run an F-test for two sample variances using an alpha level of 0.05 and answer the following questions: a. Which of the two years has the higher mean? What are the values? b. Which of the two years has the higher variance? What are the values? c. Based on the statistical output, would you conclude that variances are equal or not equal? Provide an appropriate/authoritative explanation leveraging the statistical output.

2. Run an appropriate t-test (assuming either equal or unequal variances based on your conclusion in 1c above) using an alpha level of 0.05 and answer the following questions: a. Is this a one-tailed or two-tailed test? Provide an appropriate/authoritative explanation that fully explains the choice. b. Based on the statistical output, would you conclude that means are equal or not equal? Provide an appropriate/authoritative explanation leveraging the statistical output. c. Using everyday language that could be understood by parents and students, what does the analysis say about student debt in 2018 versus 2013? Provide an appropriate/authoritative explanation leveraging the statistical output (e.g., use confidence level, rationale, etc.)

The data is below.

Debt in 2018 (dollars)	Debt in 2013 (dollars)
3,287	3,840		Test the Hypotheses Below
4,031	2,575
5,028	4,720		Null Hypothesis: Mean Student Debt in 2018 is equal to Mean Student Debt in 2013
4,939	3,178		Alternative Hypothesis: Mean Student Debt in 2018 is not equal to Mean Student Debt in 2013
4,555	4,972
2,792	2,827		Alpha Level = 0.05
2,658	4,964
2,756	3,033
3,422	3,843
4,431	4,972
4,034	3,974
4,310	3,134
4,782	3,120
3,363	3,793
2,858	3,909
3,665	3,468
4,453	2,536
4,778	3,795
3,492	4,662
3,380	2,833
4,996	4,097
2,684	3,188
3,067	2,695
4,236	3,691
4,513	3,499
4,050	2,914
3,955	4,102
2,909	3,934
3,592	4,058
2,984	2,659
4,063	4,844
2,690	3,156
4,735	3,332
4,398	4,793
2,782	3,831
4,256	3,613
4,631	4,882
4,550	3,592
3,561	4,144
4,261	4,138
4,771	4,956
3,780	2,730
4,988	3,828
2,798	2,888
3,039	4,803
4,445	4,612
4,988	3,798
3,927	4,269
3,958	2,646
5,093	4,837