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Math Help - What does the data suggest?

  1. #1
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    What does the data suggest?

    A larger orchard has averaged 140 pounds of apples per tree per year. A new fertilizer is tested to try to increase yield. Forty trees are randomly selected, and the mean and standard deviation of the yield are sample mean ( x bar) = 143.2 and s = 9.4. Do the data indicate a significant increase in yield?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by bombo31
    A larger orchard has averaged 140 pounds of apples per tree per year. A new fertilizer is tested to try to increase yield. Forty trees are randomly selected, and the mean and standard deviation of the yield are sample mean ( x bar) = 143.2 and s = 9.4. Do the data indicate a significant increase in yield?
    As with the other problem compute the t-score or z-score for the sample mean:

    <br />
t=\sqrt{40}\frac{143.2-140}{9.4}\approx 2.153<br />
,

    Looking this up we see that a difference this large or larger will occur with
    a probability of less than 3%, so at this level we may conclude that there
    is a significant increase in yeild.

    RonL
    Last edited by CaptainBlack; July 8th 2006 at 03:20 AM.
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