HW5 (3.1-3.3).pdf - Section 3.1 Sampling Distributions 1...

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Section 3.1: Sampling Distributions 1. Using Search Engines A 2012 survey of a random sample of 2,253 US adults found that 1,329 of them reported using a search engine (such as Google) every day to find information on the Internet. a). Find the relevant proportion and give the correct notation with it. (answer) b). Is your answer to part (a) a parameter or a statistic? (answer) c). Give notation for and define the population parameter that we estimate using the result of part (a). (answer) 2. Number of Books Read in a Year A survey of 2,986 Americans ages 16 and older found that 80% of them read at least one book in the last year. Of these book readers, the mean number of books read in the last year is 17 while the median number of books read in the last year is 8. a). How many “book readers” (defined as reading at least one book in the past year) were included in the sample? (answer) b). Why might the mean and median be so different? Using the information given about the mean and median number of books read in a year, what is the likely shape of the distribution of number of books read in a year by book readers? (answer) c). Give the correct notation for the value “17” in the information above. Is this value a parameter or a statistic? (answer) d). Give notation for and define the population parameter that we estimate using the result of part (c). (answer) 3. Parameters and Statistics For each of the following, state whether the quantity described is a parameter or a statistic, and give the correct notation. a). The proportion of all residents in a county who voted in the last presidential election.

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