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Math Help - Sampling theory

  1. #1
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    Sampling theory

    The standard deviation of the masses of articles in a large population is 4.55kg. If samples of size 100 are drawn from the population, find the probability that a sample mean will differ the true population mean by less than 0.8kg.


    * the answer is 0.921, but i don't know what is the working.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by SakuraSky View Post
    The standard deviation of the masses of articles in a large population is 4.55kg. If samples of size 100 are drawn from the population, find the probability that a sample mean will differ the true population mean by less than 0.8kg.


    * the answer is 0.921, but i don't know what is the working.
    The difference between the sample mean and the population mean is a RV with an approximately normal distribution with zero mean and sd = 4.55/sqrt(100).

    CB
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