Solve the Problem. -The Ages (In Years) of the Four U.S. Vice Presidents

question 231

Essay

Solve the problem.
-The ages (in years) of the four U.S. vice presidents who assumed office after presidential assassinations are
56 (A. Johnson), 51 (C. Arthur), 42 (T. Roosevelt), and 55 (L.B. Johnson). (i) Assuming that 2 of the ages are
randomly selected with replacement, list the 16 different possible samples. (ii) Find the range of each of the 16
samples, then summarize the sampling distribution of the ranges in the format of a table representing the
probability distribution. (iii) Compare the population range to the mean of the sample ranges. (iv) Do the
sample ranges target the value of the population range? In general, do sample ranges make good estimators of
population ranges? Why or why not?

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Definitions:

Cultural Relativism

The principle that an individual's beliefs and activities should be understood by others in terms of that individual's own culture.

Rule-Based Ethics

An ethical framework where actions are judged right or wrong based purely on adherence to a set of rules or ethical guidelines.

Consequential Ethics

An ethical approach that evaluates the morality of actions based on their outcomes or consequences.

Demographic Trends

Patterns of changes in population characteristics over time such as age, race, and gender distributions.