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:

Cognitive Therapy

Therapy that teaches people new, more adaptive ways of thinking; based on the assumption that thoughts intervene between events and our emotional reactions.

Philippe Pinel

A French physician noted for his contributions to the humane treatment of individuals with mental health disorders in the early 19th century.

Dorothea Dix

An American advocate for the mentally ill who significantly changed the perceptions of psychiatric care in the 19th century.

Psychological Disorders

Mental disorders that significantly affect one's thinking, emotional state, and behavior, disrupting daily functioning.