College University of Virginia University of Richmond George Mason University Washington and Lee University Virginia Tech Virginia Commonwealth University College of William and Mary Old Dominion University Christopher Newport University Hampden-Sydney College James Madison University Marymount University Roanoke College University of Mary Washington Virginia State University Radford University Randolph-Macon College Lynchburg College Hollins University Longwood University University of Virginia's College at Wise Randolph College Emory & Henry College Virginia Wesleyan College Sweet Briar College Mary Baldwin College Bridgewater College Averett University Eastern Mennonite University Ferrum College Bluefield College Full professors Associate professors Assistant professors $141,600 $136,300 $130,900 $123,200 $121,700 $118,600 $117,600 $107,000 $95,800 $91,600 $87,400 $85,900 $83,200 $82,100 $81,100 $78,800 $78,200 $78,100 $78,000 $77,300 $76,500 $95,000 $93,800 $85,400 $93,500 $84,400 $79,900 $87,000 $76,800 $72,000 $65,600 $66,500 $70,000 $66,100 $62,600 $65,700 $65,900 $61,500 $63,400 $62,900 $61,400 $61,300 $80,300 $76,600 $71,000 $70,500 $73,300 $68,800 $68,500 $66,500 $59,000 $54,500 $60,400 $59,300 $56,600 $55,400 $64,000 $58,400 $51,300 $56,500 $51,800 $55,100 $56,800 $75,600 $74,600 $74,000 $73,100 $71,600 $69,900 $64,200 $62,000 $60,500 $56,800 $61,500 $56,200 $58,600 $60,400 $58,400 $57,300 $55,500 $51,100 $56,800 $46,300 $52,400 $46,700 $57,800 $51,400 $49,300 $50,200 $47,300 $45,800 $48,900 $39,300 Instructors $50,500 $67,600 $59,000 $48,900 $46,800 $48,200 $46,100 $51,100 $49,900 $51,000 $45,900 $50,900 $46,600 $51,000 $45,500 $44,000 $45,100 $41,300 $41,500 $41,300 $38,300 $38,400 Studentfac. ratio 16 to 1 9 to 1 16 to 1 7 to 1 17 to 1 18 to 1 11 to 1 21 to 1 17 to 1 10 to 1 16 to 1 14 to 1 11 to 1 15 to 1 16 to 1 18 to 1 11 to 1 12 to 1 10 to 1 18 to 1 15 to 1 6 to 1 10 to 1 11 to 1 7 to 1 11 to 1 14 to 1 13 to 1 10 to 1 18 to 1 11 to 1 Math 240 - Dr. Wolfle Summer 2017 Individual Project 2 - Due Sunday, July 23 You are to use the Average Virginia College Salaries 2011-12 for this project. Data sets may be found in the \"Data Set\" folder in the \"Course Documents\" tab on our blackboard site. The average salary for a full professor in the 2011-12 year in the United States was $113,176. Is the average salary for a full professor in Virginia different from the national average? (1) Perform an appropriate hypothesis test for your question using =.10. Show all important values you use as part of your test, including the null hypothesis, alternate hypothesis, test statistic value, and either the rejection region and critical value or pvalue depending on the method you choose to use. State the result of your test in context of the question. (2) Create a 90% confidence interval for the average salary for a full professor in Virginia in the 2011-12 school year. Using this confidence interval, what would you conclude about your research question? Why? (3) Did you find a different result with the two methods? If so, why do you think the results were different? If not, which method is better to answering your question? Does one method give you better information than the other? Provide at least one reason that a hypothesis test would be a better method, and one reason that a confidence interval would be a better method. Include in your project all information, formulas, samples, data, and methods you used to answer the two questions. Your project should be turned in to me in a neat format. 50% of your grade will come from the calculations and graphs you have, and 50% will be based on how well you address the questions posed in the assignment