T the Foraging Capability of Downy Woodpeckers Can Be Compromised $1.5 \mathrm {~g}$

question 23

Essay

T The foraging capability of Downy Woodpeckers can be compromised if part of their habitat disappears due to significant human encroachment. These creatures eat insects in trees, and if they cannot find enough food due to a decreasing forest area their body mass may decrease. A previous study of Downy Woodpeckers indicates that for male Downy Woodpeckers the population standard deviation of body mass is approximately $1.5 \mathrm {~g}$ . Suppose that an estimate $\mu$ , the current average mass of male Downy Woodpeckers in a local forest preserve, is desired. If the previous study value is taken as a reasonable first estimate of the population standard deviation, what is the minimum sample size that is necessary to estimate $\mu$ to within $0.2$ grams with $95 \%$ confidence?

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Definitions:

Price-Elastic

Price-elastic refers to the responsiveness of the quantity demanded or supplied of a good to a change in its price; high elasticity means quantity changes significantly with price changes.

Amtrak Train Service

A government-owned corporation that provides intercity passenger train service in the United States.

Other Passengers

Individuals sharing a transport service such as a bus, plane, or carpool, not including the service provider or driver.

Elastic Demand

Describes a market situation in which the quantity demanded of a good or service significantly changes in response to a change in price.