Question

POLICILJELT . SV l . A biologist wants to estimate the number of white rhinos still alive in the wild. The natural habitat of the white rhino is too large to survey, so he divides the entire habitat into 100 units and randomly selects 10 of them to observe. After spending 1 day in each of these 10 units, he observes an average of M = 3 rhinos per unit of habitat, with a standard deviation of 1.3 rhinos. If the 10 units of habitat he observed are representative of the entire rhino habitat, he deduces that there must be M 100 white rhinos left in the world. 24. What is the biologist's best guess for the number of rhinos left in the world?

Answer 1

In this study, there are a total of 100 units or clusters which is the entire population. 10 clusters or units are selected and the cluster mean is found.

M = 3 rhinos per unit of habitat

y_cl is the mean of the 10 selected clusters.

п Eσ.)-ΣE ) n i=1 п -ΣΤ (since SRS is used) п n i=1 i-l

The mean of the above selected 10 clusters/units is the unbiased estimator of the population mean.

Hence, population mean = M = 3 rhinos per unit of habitat

Best guess for the number of rhinoes left in the world = Population Mean * Number of units in the entire habitat = 3*100 = 300 rhinos