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Math Help - hypothesis testing/Critical Region, must i find μ or XBar?

  1. #1
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    hypothesis testing/Critical Region, must i find μ or XBar?

    ok guys, im not askng you to do my homework, but i could use a point in the right direction..

    ive got one of those fun filled packets where each question depends on the previous answer, so if i start it right i should be ok..

    Background - many studies over the years have established "normal" levels of red blood cells and hemoglobin in children. The distribution of hemogloben levels is approx normal and the middle 95% of "normal" children have levels between 11 and 16 grams per deciliter of blood, That implies that the standard deviation of "normal" level is approx σx=1.25

    Let X represent a random value taken from a randomly chosen child.

    State a null and alternative hypothesis that would be appropriate for a health examiner to examine.

    So far, i'm assuming that my H0 would be H0:X≥11, H1:X<11..now this is just a simple dumb question, but is X the right value/terminology to use in my hypothesis?

    Now the rest of the packet is basically draw the distribution of XBar, from a sample of n=100..show rejection regions....and at the very VERY end it says calcualte the errors of β

    Im a bit confused if i need to actually find Xbar/mew to do this or not..umm im sure part of it is im not interpreting this correctly. I only ask this because every formula i see requires XBar and mew.

    Any help/pointers is appreciated, thanks in advance.
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  2. #2
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    EDIT:

    If the child's level is below 11, the child is considered anemic.
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