Consider the weighted voting system [7: 7, 4, 2]. Find the Shapely-Shubik Power distribution. Group of answer choices σ1 = 1/3; σ2 = 1/3; σ3 = 1/3; σ1 = 2/3; σ2 = 1/6; σ3 = 1/6; σ1 = 1/2; σ2 = 1/2; σ3 = 0; σ1 = 1; σ2 = 0; σ3 = 0;
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- Hammerhead produces heavy-duty nails, which are purchased by Modulo, a maker of prefabricated housing. Modulo buys the nails in lots of 10,000and subjects a sample to destructive testing to determine the acceptabilityof the lot. Modulo has established an AQL of 1 percent and an LTPD of10 percent.a. Assuming a single sampling plan with n = 100 and c = 2, find α and β.b. Derive the sequential sampling plan that achieves the same values of α and β as the single sampling plan derived in part (a).c. By estimating the ASN curve, find the maximum value of the expectedsample size Modulo will require if it uses the sequential plan derived inpart (b).d. Suppose that the sequential sampling plan derived in part (b) is used. One hundred nails are tested with the following result: The first 80 are acceptable, the 81st is defective, and the remaining 19 are acceptable. By graphing the acceptance and the rejection regions, determine whether the sequential sampling plan derived in part (b) would…Suppose that Fred, a United States politician from a large western state, wants to create a new law that would require children under the age of 16 to be accompanied by an adult at all times in public places. Based on previous voting records, Fred believes that he could gain the support of 2525% of likely voters. To test his hypothesis, Fred conducts a random survey of 12001200 likely voters and asks if they would support his proposition. Let ?X denote the number of likely voters in Fred's sample that pledge their support, assuming that Fred's belief that 25%25% of likely voters would support his proposal. Which of the following statements are true about the sampling distribution of ?X? -The sampling distribution of ?X is approximately binomial with ?=1200n=1200 and ?=0.25p=0.25. -The sampling distribution of ?X is exactly normal with ?=0.5μ=0.5 and ?=0.0125σ=0.0125. -The sampling distribution of ?X is exactly binomial with ?=1200n=1200 and ?=0.25p=0.25. -The sampling…A sample, with M=42 and n=64, is selected from a population with a μ=48 and σ=16. Would this sample be considered extreme and unrepresentative for this population?
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- 3. a) b) c) d) 4. A simple random sample is one in which: From a random starting point, every nth unit from the sampling frame is selected. A non-probability strategy is used, making the results difficult to generalize. The researcher has a certain quota of respondents to fill for various social groups. Every unit of the population has an equal chance of being selected.Suppose a finite population has 6 items and 2 items are selected at random without replacement, then all possible samples will be: a. 6b. 15c. 2d. 12 e. 36The Coca-Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca-Cola Classic. Suppose that two years later, in 1987, a marketing research firm in Chicago compared the sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. To do this, the marketing research firm randomly selected 10 public buildings in Chicago having both a Coke machine (selling Coke Classic and New Coke) and a Pepsi machine. The Coca-Cola Data and a MINITAB Output of a Randomized Block ANOVA of the Data: Building 1 2 3 4 5 6 7 8 9 10 Coke Classic 45 136 134 41 146 33 71 224 111 87 New Coke 6 114 56 14 39 20 42 156 61 140 Pepsi 24 90 100 43 51 42 68 131 74 107 Two-way ANOVA: Cans versus Drink, Building Source DF SS MS F P Drink 2 7997.6 3998.80 5.78 0.011 Building 9 55573.5 6174.83 8.93 0.000 Error 18 12443.7 691.32 Total 29 76014.8…