Problem #1 A recent survey by the alumni of a major university indicated that the average salary of 10,500 of its 320,000 graduates was $131,000. a) What is the population of interest? Graduates b) What is the parameter of interest? Average salary of graduates c) In statistical terms, what is the 10,500? Hint: use identification terms such as population, parameter, sample, statistic, etc. Sample d) In statistical terms, what is the 320,000? Population e) In statistical terms, what is the $131,000? Statistics f) Who might be interested in this information and how might they use it?Problem #3 Pew Research Center is a nonpartisan fact tank that informs the public about the issues, attitudes and trends shaping America and the world. It does not take policy positions. The Center conducts public opinion polling, demographic research, content analysis and other data-driven social science research. It studies U.S. politics and policy; journalism and media; internet, science, and technology; religion and public life; Hispanic trends; global attitudes and trends; and U.S. social and demographic trends. All of the Center's reports are available at www.pewresearch.org. Pew Research Center is a subsidiary of The Pew Charitable Trusts, its primary funder. On the next page is a graph from a recent report from the Pew Research Center:For those who attended college, the type of school they went to varies by parental education Among adults who attended any type of college, % who attended ... Level 4-year institution Less than 4-year A parent with bachelor's+ 85% 15 No parent with bachelor's degree 61 39 Private, not Private Public/private Public for-profit for-profit A parent with bachelor's+ 66 No parent with bachelor's degree 70 17 13 Less Selectivity selective Selective More selective A parent with bachelor's+ 24 25 51 No parent with bachelor's degree 54 23 23 Note: Based on adults ages 22 to 59 with known parental education who went to college. Source: Pew Research Center analysis of 2019 Survey of Household Economics and Decisionmaking. "First-Generation College Graduates Lag Behind Their Peers on Key Economic Outcomes" PEW RESEARCH CENTER Link to full article: https://www.pewresearch.org/social-trends/2021/05/18/first-generation-college-graduates-lag- behind-their-peers-on-key-economic-outcomes/ a) What is the significance of the statement that the researchers producing this report are "..a nonpartisan fact tank"? The significance b) Was this an observational study or an experiment? Explain. c) What is the population of interest? d) List at least three variables that were recorded by the researchers. Identify the variables as categorical or quantitative. Include units if quantitative. e) Do you think that there is a relationship between the parent's level of education and the type of college a student attends? Explain. Be sure your answer included all the components of CARE (context, answer, reason, evidence)