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The following electoral method is used to choose the mayor of Whoville: Every resident ranks the candidates from most preferred to least preferred, and places this ranked list in a ballot box.
Each candidate receives a number of points equal to the number of residents who prefer him to all the other candidates. The candidate who thus amasses the greatest number of points wins the election.
If two or more candidates are tied for first place in the number of points, the winner of the election is the candidate among them whose social security number is smallest. Assume there are at least three candidates.
(a) Show by example that this electoral method is not monotonic.
(b) Show by example that this electoral method is not manipulable.
Assume that two samples are independent simple random samples selected from normally distributed populations. Use a 0.05 significance level to test the claim that male and female biology students speak the same mean number of words in a day.
Consider the latent roots of Table 4.13 in Example 4.14 (a) Using the chi-squared criterion (Eq. 4.6), test whether the covariance matrix is of diagonal form.
According to an article in Newsweek, the natural ratio of girls to boys is 100:105. In China, the birth ratio is 100: 114 (46.7% girls). Suppose you don't believe the reported figures of the percent of girls born in China.
It is found that among a random sample of 130 of the school's students, 32% of them plan to go into general practice. Find the P-value for a test of the school's claim.
What proportion of adults said that clothing was their ?rst choice? What are the odds that an adult will say that clothing is his or her ?rst choice?
Describe the use of sensitivity analysis and postoptimality analysis in analyzing the results. Describe the characteristics of a Bernoulli process. How is a Bernoulli process associated with the binomial distribution?
one method for assessing the effectiveness of a drug is to note its concentration in blood andor urine samples at
If a college includes a minimum score of 1050 among its requirements, what percentage of females do not satisfy that requirement?
The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf
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