(Best Essay Writers) Cereal. A simple random sample of 16 different cereals is obtained and the sugar content (in grams of sugar

Abstract
Science reported in a 1997 study that 40% of research in mathematics is published by U.S. authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 40%. He has no indication of whether the percentage has increased or decreased.

Stat 2021Name ____________________________ Project 3  =  Due 12/03/2013 Perform hypothesis tests for each of the following scenarios. You may use Minitab, Excel, or TI-83 or TI-84 calculator to compute your results. Save your project as Project3_Minitab, Project3_Excel, or Project3_TI (depending on which technology you used) and submit via D2L dropbox by the due date. 1. Sugar in Cereal. A simple random sample of 16 different cereals is obtained and the sugar content (in grams of sugar per gram of cereal) is measured for each cereal selected. Those amounts have a mean of 0.295 gram and a standard deviation of 0.168 gram. Use a 0.05 significance level to test the claim of a cereal lobbyist that the mean for all cereals is less than 0.3 gram. Assume that the population distribution is approximately normal. 2.  The National Academy of Science reported in a 1997 study that 40% of research in mathematics is published by U.S. authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 40%. He has no indication of whether the percentage has increased or decreased. He surveys a simple random sample of 130 recent articles published by reputable mathematics journals and finds that 62 of these articles have U.S. authors. At the 0.10 level, does this evidence support the chairperson’s claim that the percentage is no longer 40%? 3.  Open Roof or Closed Roof? In a recent World Series, the Houston Astros wanted to close the roof on their domed stadium so that fans could make noise and give the team an advantage at home. However, the Astros were ordered to keep the roof open unless weather conditions justified closing it. But does the closed roof really help the Astros? The table below shows the results from home games during the season leading up to the World Series. Use a 0.05 significance level to conduct a Chi-Square Test for Association. Is there sufficient evidence to show that there is a relationship between wins and the open/closed status of the roof? 4.  One company’s bags of potato chips have a set weight of 326 grams. Because the chips vary in size, it is difficult to fill the bags to the exact weight desired. However, the bags pass inspection if the standard deviation of their weights is no more than 3 grams. A quality control inspector wished to test the claim that one batch of bags has a standard deviation of more than 3 grams, and therefore does not pass inspection. If a sample of 25 bags is taken and the standard deviation is found to be 3.4 grams, does this evidence, at the 0.05 level of significance, support the claim that the bags should fail inspection? Assume the population is normally distributed.

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