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    Histograms and estimates from those distributions

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    Each month the American Automobile Association (AAA) generates a report on gasoline prices that it distributes to newspapers throughout the state. On February 17, 1999, AAA called a random sample of 51 stations to determine that day's price of unleaded gasoline.

    The resulting data (in dollars) is shown as follows: 1.07 1.31 1.18 1.01 1.23 1.09 1.29 1.10 1.16 1.08 0.96 1.66 1.21 1.09 1.02 1.04 1.01 1.03 1.09 1.11 1.11 1.17 1.04 1.09 1.05 0.96 1.32 1.09 1.26 1.11 1.03 1.20 1.21 1.05 1.10 1.04 0.97 1.21 1.07 1.17 0.98 1.10 1.04 1.03 1.12 1.10 1.03 1.18 1.11 1.09 1.06 Create a data array with the gasoline price data. Create two histograms for this data set using 5 classes for the first and 15 classes for the second. Estimate the number of prices that are at least $1.15 using each of the preceding histograms. A local radio station has reported that 30% of the gas stations are charging $1.15 or more for gasoline. Use one of the histograms you have produced to respond to this report. Which histogram did you use? Why?

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    Solution Summary

    Each month the American Automobile Association (AAA) generates a report on gasoline prices that it distributes to newspapers throughout the state. On February 17, 1999, AAA called a random sample of 51 stations to determine that day's price of unleaded gasoline.

    The resulting data (in dollars) is shown as follows: 1.07 1.31 1.18 1.01 1.23 1.09 1.29 1.10 1.16 1.08 0.96 1.66 1.21 1.09 1.02 1.04 1.01 1.03 1.09 1.11 1.11 1.17 1.04 1.09 1.05 0.96 1.32 1.09 1.26 1.11 1.03 1.20 1.21 1.05 1.10 1.04 0.97 1.21 1.07 1.17 0.98 1.10 1.04 1.03 1.12 1.10 1.03 1.18 1.11 1.09 1.06 Create a data array with the gasoline price data. Create two histograms for this data set using 5 classes for the first and 15 classes for the second. Estimate the number of prices that are at least $1.15 using each of the preceding histograms. A local radio station has reported that 30% of the gas stations are charging $1.15 or more for gasoline. Use one of the histograms you have produced to respond to this report. Which histogram did you use? Why?

    $2.19

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