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Math Help - How to find best point of estimate?

  1. #1
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    Lightbulb How to find best point of estimate?

    How do I find the best point of estimate for 2 samples?

    Here is my data:
    A: 78, 84, 81, 78, 76, 83, 79, 75, 85, 81
    B: 85, 75, 83, 87, 80, 79, 88, 94, 87, 82

    \bar{x}A = 80
    S = 3.367
    N = 10

    \bar{x}B = 84
    S = 5.395
    N = 10

    Reading my notes it sounds like 80 would be the best point of estimate for A and 84 the BPA for B, I think? Would the BPA for both be 82?

    Thanks for the help
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  2. #2
    MHF Contributor matheagle's Avatar
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    I can obtain maximum likelihood estimators, method of moments estimators, sufficient estimators...
    BUT I need to know what is the underlying distribution.
    And do you want the best point estimator of the population mean, or population variance...?
    Last edited by matheagle; April 13th 2009 at 11:22 PM.
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  3. #3
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    The question says: Use these data for problems on this task. Find the best point estimate of \muA - \muB. (they are independent random samples) They gave the data tables and I determined samp means and std devs.

    Does that answer your question? Because I really don't understand.
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  4. #4
    MHF Contributor matheagle's Avatar
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    I wanted to know what parameters you wanted to estimate.
    Now I see it's the difference of the two population means.
    I would use the difference of the sample means, 80-84=-4.
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  5. #5
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    Smile

    Hmm, ok =) thanks
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  6. #6
    MHF Contributor matheagle's Avatar
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    Likewise, the best guess at 10\mu_1-8\mu_2 would be 10\bar X_1-8\bar X_2.
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  7. #7
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    Ok so looking at my other problems, it says things like:
    Ho: \mu1 - \mu2 = 0 vs Ha: \mu1 - \mu2 < 0

    So does that mean it is considered as one (rather than a subtraction), that is just how it is represented?
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  8. #8
    MHF Contributor matheagle's Avatar
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    this is a one sided hypothesis test. You need to give me all the info, not just pieces here and there.
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