Show Your Work 3 Write careful, well-organized, neat, complete solutions for the problems below and submit them according to the Directions for Submitting Written Assignments housed in the Orientation to Online Statistics module. Please don’t squish your analysis on a copy of this document. C Your analysis for each problem will be graded on correctness and your ability to communicate your solution. Submit your complete, clearly-communicated solution for parts (a), (b), and (c). Clearly define every variable you create (include units of measurement, if they exist, with each definition). NOTE: it’s not necessary for you to define statistical symbols such as y , μ, r, s, p, σ, etc. For values obtained by using technology (e.g. StatCrunch, a TI-84 calculator, Excel, an app, etc.) requiring a statistical function, specify the name of the technology and the function used. Report each of the values requested in this assessment with at least four digits after the decimal point. [A trial-and-error, guess-and-check approach will not receive credit.] A long-term study of changing environmental conditions in Chesapeake Bay found the following annual salinity (salt concentration) readings in the bay. Year 2001 2002 2003 2004 2005 2006 2007 Salinity (%) 11.8 10.3 13.9 14.8 15.3 13.3 15.6 Year 2008 2009 2010 2011 2012 2013 2014 Salinity (%) 15.1 15.3 13.7 17.2 19.1 15.8 15.2 Address parts (a) through (c). Report each answer with at least four digits after the decimal point. Include units of measurement with each answer. (a) After verifying the requisite conditions – you do not have to show this – determine the residual salinity of Chesapeake Bay for year 2012. (b) Can the equation you obtained in part (a), perhaps an equation you stored in your calculator, be used to predict the year in which the salinity level of Chesapeake Bay was 17.5%. Why or why not? (c) What prediction can you make about the salinity level of Chesapeake Bay in the year that is 1 3 1 standard deviations below the mean year of the data in this sample? Prove your claim with computations.
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