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. (1) How many "book readers" (defined as reading at least one book in the past year) were included in the sample? (2) 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? (3) Give the correct notation for the value "17" in the information above. Is this value a parameter or a statistic? (4) Give notation for and define the population parameter that we estimate using the result of part (3).

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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.
(1) How many "book readers" (defined as reading at least one book in the past year) were
included in the sample?
(2) 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?
(3) Give the correct notation for the value "17" in the information above. Is this value a
parameter or a statistic?
(4) Give notation for and define the population parameter that we estimate using the result of
part (3).
Transcribed Image Text: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. (1) How many "book readers" (defined as reading at least one book in the past year) were included in the sample? (2) 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? (3) Give the correct notation for the value "17" in the information above. Is this value a parameter or a statistic? (4) Give notation for and define the population parameter that we estimate using the result of part (3).
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