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    Standard Deviation

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    A vending machine that dispenses coffee into cups must fill the cups with 7.8oz of liquid. Before selling the vending machine to a college or business, the company tests the machine to be sure it is dispensing an average amount of 7.8oz of coffee. A sample of 20 amounts is shown below. The amount of coffee dispensed is assumed to be normally distributed with a standard deviation of 0.05 oz.
    Ounces dispensed
    7.78 7.79
    7.82 7.82
    7.87 7.84
    7.80 7.82
    7.80 7.78
    7.83 7.75
    7.85 7.83
    7.84 7.73
    7.82 7.87
    7.81 7.88

    © BrainMass Inc. brainmass.com March 4, 2021, 5:43 pm ad1c9bdddf
    https://brainmass.com/statistics/hypothesis-testing/standard-deviation-8067

    Solution Preview

    sum (x) = summation of data = 156.33
    <br><x> = average = sum(x)/n = 156.33/20 = ...

    Solution Summary

    A vending machine that dispenses coffee into cups must fill the cups with 7.8oz of liquid. Before selling the vending machine to a college or business, the company tests the machine to be sure it is dispensing an average amount of 7.8oz of coffee. A sample of 20 amounts is shown below. The amount of coffee dispensed is assumed to be normally distributed with a standard deviation of 0.05 oz.
    Ounces dispensed
    7.78 7.79
    7.82 7.82
    7.87 7.84
    7.80 7.82
    7.80 7.78
    7.83 7.75
    7.85 7.83
    7.84 7.73
    7.82 7.87
    7.81 7.88

    $2.49

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