5. Biomass Studies20 indicate that the earth’s vegetative mass, or biomass for tropical woodlands, thought to be about 35 kilograms per square meter (kg/m2 ), may in fact be too high and that tropical biomass values vary regionally—from about 5 to 55 kg/m2. Suppose you measure the tropical biomass in 400 randomly selected square-meter plots.

a. Approximate s, the standard deviation of the biomass measurements.

b. What is the probability that your sample average is within two units of the true average tropical biomass?

c. If your sample average is x 531.75, what would you conclude about the overestimation that concerns the scientists?