Two companies produce widgets of varying quality. An important measure of quality is the number of days the widgets can go before they need to be replaced. Do the following data provide evidence that the quality of widgets from the two companies differ? Round the p-value to three decimal places. Do not assume equal variances. Widget Life in Days from Company 1 13.0 13.2 43.2 40.7 55.0 57.3 43.8 49.9 31.7 Widget Life in Days from Company 2 57.1 57.7 59.1 58.7 51.6 57.9

Based on the data below, answer the following question: Draw a scatter diagram that highlights the relationship between Local Tuition and Students per Faculty. Find out the correlation coefficient between Local Tuition and Students per Faculty. (Keep 2 decimal places.)     Business School Full-Time Enrollment Students per Faculty Local Tuition ($) Foreign Tuitiion ($) English Test Work Experience Starting Salary ($) 1 Melbourne Business School 200 5 24,420 29,600 No Yes 71,400 2 University of New South Wales (Sydney) 228 4 19,993 32,582 No Yes 65,200 3 Indian Institute of Management (Ahmedabad) 392 5 4,300 4,300 No No 7,100 4 Chinese University of Hong Kong 90 5 11,140 11,140 No No 31,000 5 International University of Japan (Niigata) 126 4 33,060 33,060 Yes No 87,000 6 Asian Institute of Management (Manila) 389 5 7,562 9,000 No Yes 22,800 7 Indian Institute of Management (Bangalore) 380 5 3,935 16,000 No No 7,500 8 National University of Singapore 147 6 6,146 7,170…

The following graph plots data for tax per gallon and internal miles.Carefully explain what the graph is about, and what it captures.   What are the limitations of the correlation and what can a researcher do toovercome these?

Rail ridership during the summer months in the North-East is believed to beclosely related to the number of tourists visiting the region. The following tableshows the data on the number of tourists and North-East ridership for the past16 years.Year      Tourists( in millions)     Rail Ridership (in millions) 2000              9                                         2.32001              4                                         1.9 2002              7                                         1.7 2003              5                                         1.8 2004              12                                       2.8 2005              13                                       2.9 2006              14                                       2.42007              20                                       4.8 2008              7                                        1.3 2009              5                                         1.12010              9…