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Math Help - Sampling question 2

  1. #1
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    Sampling question 2

    The masses of kilogram bags of flour produced in a lottery have a normal distribution with mean 1.005 kg and standard deviation 0.0082 kg. A shelf in a store is loaded with 22 of these bags assumed to be randomn sample.

    a)Find the probability that a randomly chosen bag has mass less than 1 kg.
    b) Find the probability that the mean mass of 22 bags is less than 1 kg.

    State giving a reason, which of the above answers would be little changed if the distribution of masses were not normal.
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  2. #2
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    To find probabilities for individual members of a population use the formula:

    z=\frac{x-{\mu}}{\sigma}

    To find probabilites for the mean of a sample size use:

    z=\frac{x-{\mu}}{\frac{\sigma}{\sqrt{n}}}}
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