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Unformatted text preview: Homework problem set 2 * • # 1. The probability distribution shown here describes a population of measure ments that can assume values of 0,2,4, and 6, each of which occurs with the same rel ative frequency: x 0 2 4 6 p ( x ) 1 4 1 4 1 4 1 4 a. List all the different samples of n = 2 measurements that can be selected from this population. b. Calculate the mean of each different sample listed in part a . c. If a sample of n = 12 measurements is randomly selected from the population, what is the probability that a specific sam ple will be selected? * updated on Feb.11 1 • Additional four problems: P. 135, # 3.46; P. 232, # 5.10; P. 246, # 5.25; P. 248, # 5.44. (The numbering here is following the 11th edition.) • In the 10th edition, the corresponding prob lems are: P. 143, # 3.46; P. 242, # 5.10; P. 258, # 5.23; P. 260, # 5.42. 2 Point estimator • Recall: sample statistic and population pa rameter. The link is something called in ference that statisticians tend to carry out. • Definition: A Point estimator of a popu lation parameter is a rule or formula which tells us how to use the sample data to cal culate a single number that can be used as an estimate of the population parameter. • Examples: the sample mean ¯ x is a point estimator of the population mean μ ; sam ple variance s 2 is a point estimator of the population variance σ 2 ....
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 Spring '10
 Zhao
 Normal Distribution, Probability, Standard Deviation, #, 6 months, 54 Months, 27 m

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