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Math Help - Central Limit Theorem: Approximating Sample Mean

  1. #1
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    Central Limit Theorem: Approximating Sample Mean

    Hi,

    I'm having trouble with this problem:
    http://users.encs.concordia.ca/~b_zgeb/problem10.png

    This is my work so far:
    http://users.encs.concordia.ca/~b_zg...m10-answer.png

    The problem is the \theta(30). 30 seems like a ridiculous value for normal distribution and I have a feeling it's supposed to be 3. Any thoughts?

    Bronson
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  2. #2
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    Your answer is correct. As the s.d. of the mean is divided by the sqrt of sample size, for a sample of n=100, the sample mean is going to have a relatively small standard deviation. A large sample size "dilutes" the variance of the mean making it unlikely that you will have much variance from sample to sample.
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  3. #3
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    Thanks! I appreciate your help.
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