Some shrubs have the useful ability to resprout from their roots after their top

Q: Some shrubs have the useful ability to resprout from their roots after their top

Normal approximation to the binomial calculation: Standard error of the mean = SEM = ?x(N-x)/N3 = 0.144 ? = (1-CL)/2 = 0.005 Standard normal deviate for ? = Z? = 2.576 Proportion of positive results = P = x/N = 0.500 Lower bound = P - (Z?*SEM) = 0.128 Upper bound = P + (Z?*SEM) = 0.872

ID: 3374899 • Letter: S

Question

Some shrubs have the useful ability to resprout from their roots after their tops are destroyed. Fire is a particular threat to shrubs in dry climates, as it can injure the roots as well as destroy the aboveground material. One study of resprouting took place in a dry area of Mexico. The investigation clipped the tops of samples of several species of shrubs. In some cases, they also applied a propane torch to the stumps to simulate a fire. Of 12 specimens of a particular species, 6 resprouted after fire. Estimate with 99% confidence the proportion of all shrubs of this species that will resprout after fire.

Explanation / Answer

Normal approximation to the binomial calculation:

Standard error of the mean = SEM = ?x(N-x)/N3 = 0.144

? = (1-CL)/2 = 0.005

Standard normal deviate for ? = Z? = 2.576

Proportion of positive results = P = x/N = 0.500

Lower bound = P - (Z?*SEM) = 0.128

Upper bound = P + (Z?*SEM) = 0.872

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Some shrubs have the useful ability to resprout from their roots after their top

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Some shrubs have the useful ability to resprout from their roots after their top

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