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hw2-67-key - STA 3024 Section 7459 Homework 2 Form C UFID...

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STA 3024 Homework 2 Section 7459 Form C Name: UFID: This form is only for students whose UFID number begins with 6 or 7. Answer all problems neatly . If you turn in more than one piece of paper, they must be stapled . Work that isn’t neat or stapled may lose points. You don’t need to turn in this problem listing, but you do need to include your name , UF-ID number , and form code on your homework. For each of the following problems, do the following: State the best type of inference method to use (from the ones covered in the Review 2 slides on the website). State the assumptions and whether or not they are satisfied. Irrespective of whether or not you think they are satisfied, perform the analysis. The only assumption you may assume true if not stated is randomization. Perform a hypothesis test, stating the assumptions, test-statistic value, p-value, and conclusion. Inter- pret the conclusion in the context of the problem. If we went over a confidence interval corresponding to the method you chose, make the 95% confidence interval. Interpet it in the context of the problem. State whether or not you reach the same conclusion from the hypothesis test as the confidence interval. 3 problems × 12 points 2 problems × 4 points (2 points for right method, 2 points completion) 44 points total 1. total points: 4 It was mentioned in class that the t-test is named for a statistician called Student (William Sealy Gosset). In his seminal paper, “The Probable Error of a Mean” (1908), data on barley were included to illustrate the method he introduced. You may assume that the values follow a normal distribution. Each location the barley was harvested from was split into two batches, one that was dried in a kiln and one that was not. Is there evidence that Kiln Dried barley performs better (larger average) than Not Kiln Dried barley at α = 0 . 10? Not Kiln Dried 1903 1935 1910 2496 2108 1961 2060 1444 1612 1316 1511 Kiln Dried 2009 1915 2011 2463 2180 1925 2122 1482 1542 1443 1535 It may help to know that the average for the Kiln Dried is 1875.18, the average for the Not Kiln Dried is 1841.46, and the standard deviation of the pairwise differences is 66.17. Best Inference Method 2 points Two sample matched-pairs t-test Assumptions Data obtained from randomization The sample of differences is a random sample from a population of differences 1
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Quantitative response variable
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