Other files provided with this exam: 1. Equations.pdf 2. Tables.pdf Questions in the final may refer to these other files. Instead of using the z-table in reverse to get a z-value from an area, here is a quick- reference table for the most commonly used values: if a = Area in One Tail a (1-tailed) 0.005 0.01 0.025 0.05 0.10 if a = Area in Two Tails a(2-tailed) 0.01 0.02 0.05 0.10 0.20 c = Confidence Level C 99% 98% 95% 90% 80% Zc = Critical Z-Value (negative if left-tailed, +- if two-tailed), Za/2 for confidence interval Zc/ Za/2 2.576 2.326 1.960 1.645 1.282 When complete, scan to a single PDF file and submit on D2L. Be sure to read the instructions carefully before answering a question. Every small detail asked for in the question must be provided. If a problem asks you to solve a problem in a certain way, it must be solved in that way. If stuck on a question, look through the equation sheet for ideas (although most of the problems can be solved with technology, this might help you think about what type of problem it is). Also look through old worksheets for similar problems. You can simply reject or fail to reject Ho. However, for a final conclusion to a hypothesis test, it must be of the form: At the _ level of significance, there (is) /(is not) sufficient evidence to (reject)/(support) the claim that . (and then write out the entire claim in words, not symbols, do not just say "the claim").7. Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). At the 5% level of significance, test the claim is that the weight of cars is correlated with gasoline usage. Remember that a claim of correlation would be that p =0. X 29 46 29 47 23 40 34 52 Y 30 21 22 14 29 27 22 34 a. State Ho and Hi, and note which of the two is equivalent to the original claim. Ho: H1: Is Ho or Hi equivalent to the original claim (pick one): b. Use technology to calculate the value of the sample correlation coefficient r. (Round your value for r to three decimal places). You may also want to note the value for P for (c) and the values of m and b for (e). [final answer] r = c. Use the P-value method: [ final answer]: P = [final answer] Comparison that will support your conclusion about the null hypothesis: [final answer] Conclusion about the null hypothesis: d. What is the conclusion about the original claim? IT MUST BE WRITTEN IN EXACTLY THE FORM SPECIFIED ON THE FIRST PAGE OF THIS DOCUMENT. [final answer] e. Find the equation of the least-squares line y = mx+b (Round your value for m and b to three decimal places). Do a least squares fit whether you proved significant correlation above or not. [final answer] Equation of line