Question 315893: A statistician working for the Department of Interior is constructing a systematic random sample of trees in a forest preserve. All threes have been identified and numbered with a non-invasive number attached to each bark. The statistician wishes to estimate the mean height of the trees in the forest preserve, and has calculated an appropriate sample size of n=43 trees. The 587th tree of 731 trees in the preserve was selected as the first observation in the sample. What is the number of the second observation in the sample?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The statistician wishes to estimate the mean height of the trees in the forest preserve, and has calculated an appropriate sample size of n=43 trees. The 587th tree of 731 trees in the preserve was selected as the first observation in the sample. What is the number of the second observation in the sample?
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If (and that is a big if) you think he will count
another 587 trees, and will count tree number 1 as
following tree 731, the answer would be:
587*2 = 1174
1174-731 = 443
His 2nd choice would be tree # 443
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Mathematically this is a solution to 587 = x(mod 731)
x = 587, 443, 299, etc
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Cheers,
Stan H.
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