17. The average age of piñon pine trees in the coast ranges of California was in

Question

17. The average age of piñon pine trees in the coast ranges of California was investigated by placing 500 ten-hectare plots randomly on a distribu- tion map of the species in California using a computer. Researchers then found the location of each random plot in the field, and then they measured the age of every piñon pine tree within each of the 10-hectare plots. The average age within the plot was used as the unit measure ment. These unit measurements were then used to estimate the average age of California piñon pines.

Explanation / Answer

Answer 18

(A) No, the estimate of age based on 500 plots is not influenced by sampling error because the sample size of 500 is large enough to give approximation of the population. Sample size of 500 plots is large enough to make the standard deviation or to make the sample mean approximately equivalent to the population.

So, there is no influence on the estimate of age based on 500 plots due to sampling error

(B) if the sample size is reduced to 100, then there will be difference between the population mean and sample mean which will result in larger standard deviation, i.e. larger sampling error because of the smaller sample size

So, we can say that the sampling error will increase in case of 100 plots as compared to the sample of 500 plots

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