Beyond what you reviewed in the required and recommended readings this week; different voting methods are used to decide elections worldwide. Some countries, like Brazil, elect their president using a two-round system, which is equivalent to the instant runoff voting method. Other countries, like Mexico, use what is known as the first-past-the-post system, which is equivalent to the plurality method.Research the different electoral systems used worldwide and share a specific example. Compare this country’s electoral system with the voting methods we examined in this module. Based on fairness criteria, discuss your thoughts about the fairness of this system.Your initial post is due Thursday by midnight. A minimum of two follow up posts to your classmates are due Sunday by midnight. Draw on lecture material and required readings as you construct your post. Post your initial response early and check back often to continue the discussion. Be sure to respond to your peers’ and instructor’s posts, as well.Requirements for Discussion Boards Utilize and interface with the required readings to analyze and engage the discussion board questions. Your initial post should be roughly 200 words (plus or minus 10%). Each subsequent post should be 100 words (plus or minus 10%)

Creating your own math questions serves as a highly effective method of review for the Final Exam. Share a mathematics concept from this course in the form of a potential exam question. Your concept can be something that proved to be a challenge to you, something that you found interesting, or just a concept that stuck out to you. Be sure to share (1) a problem for your peers to solve and (2) allow your peers to provide their own solution to your problem. Then, (3) provide the actual solution and your own commentary on how you would approach solving this problem. While you are waiting for solutions to your own problem, remember to provide solutions to your peers' problems.

ContextGosset's Seed Plot DataWilliam S. Gosset was employed by the Guinness brewing company of Dublin. Sample sizes available for experimentation in brewing were necessarily small. At that time, Gosset contacted a famous statistician Karl Pearson (1857-1936) and was told that there were no techniques for developing probability models for small data sets. Gosset studied under Pearson, and the outcome of his study was perhaps the most famous paper in statistical literature, "The Probable Error of a Mean" (1908), which introduced the T-distribution.Since Gosset was employed by Guinness, any work he produced would be owned by Guinness, so he published under a pseudonym, "Student"; hence, the T-distribution is often referred to as Student's T-distribution.To illustrate his analysis, Gosset used the results of seeding 11 different plots of land with two different types of seed: regular and kiln-dried. He wanted to determine if drying seeds before planting increased plant yield. Since different plots of soil may be naturally more fertile, this confounding variable was eliminated by using the matched pairs design and planting both types of seed in all 11 plots.The resulting data (corn yield in pounds per acre) are as follows.PlotRegular seedKiln-dried Seed11903200921935191531910201142496246352108218061961192572060212281444148291612154210131614431115111535We use these data to test the hypothesis that kiln-dried seed yields more corn than regular seed.Because of the nature of the experimental design (matched pairs), we are testing the difference in yield.PlotRegular seedKiln-dried SeedDifference119032009–10621935191520319102011–10142496246333521082180–7261961192536720602122–62814441482–38916121542701013161443–1271115111535–24Note that the differences were calculated: regular − kiln-dried.VariablesRegular seed: regular seeds that were traditionally used for plantingkiln-dried: seed that were kiln-dried before plantingDataDownload the seed (Links to an external site.) data file, and then upload the file into StatCrunch. PromptState the hypotheses and define the parameter.Checking conditions: Since Gosset invented the T-distribution, we will assume that his sample meets the conditions and proceed with the T-test. Regardless, answer these questions to demonstrate your understanding of the conditions for use of the T-model.But first you will need to review the dotplots for the data (opens in a new tab). Which graph is used to check conditions? Why?What do we look for in the graph to verify that conditions are met?What else do we need to know about the sample of seeds before using the T-test?Use StatCrunch to find the T-score and the P-value. Hint: as you work through the StatCrunch directions, keep in mind that we want to calculate the differences as regular − kiln-dried . So you will choose Regular seed for Sample 1 and kiln-dried seed for Sample 2. (directions)Copy and paste the information in the StatCrunch output window into your initial post.State a conclusion based on the context of this scenario.