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March 25, 2017

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What proportion of adults use between 15 and 23 gallons of gas per week if it is normally distributed with a mean of 16 gallons and a standard deviation of 5 gallons?

  • statistics research - ,

    See your other post.

  • statistics research - ,

    Use z-scores. You need to find two z-scores, then find the proportion between the two using a z-table.

    Formula:
    z = (x - mean)/sd

    For the first z:
    x = 15
    mean = 16
    sd = 5

    For the second z:
    x = 23
    mean = 16
    sd = 5

    Plug the values into the formula and calculate to find the two z-scores. Then check a z-table for the proportion between the two.

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