A Sample of N = 10 Automobiles Was Selected, and Each

question 9

Essay

A sample of n = 10 automobiles was selected, and each was subjected to a 5-mph crash test. Denoting a car with no visible damage by S (for success) and a car with such damage by F, results were as follows: S S S F F S S F S S
a. What is the value of the sample proportion of successes x/n?
b. Replace each S with a 1 and each F with a 0. Then calculate $\bar { x }$
for this numerically coded sample. How does $\bar { x }$
compare to x/n?
c. Suppose it is decided to include 15 more cars in the experiment. How many of these would have to be S's to x/n = .80 for the entire sample of 25 cars?

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Definitions:

More Elastic

Describes a greater sensitivity of demand or supply to changes in price or other economic factors.

Perfectly Inelastic

A market situation where the quantity demanded does not change as the price changes.

Demand Curve

A graph showing the relationship between the price of a good or service and the quantity of that good or service that consumers are willing to buy at each price point.

Perfectly Elastic

Describes a situation in economics where a small change in price leads to an infinite change in quantity demanded or supplied.