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

question 153

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 standard deviation of
each of the 16 samples, then summarize the sampling distribution of the standard deviation in the format of a
table representing the probability distribution. (iii) Compare the population standard deviation to the mean of
the sample standard deviations. (iv) Do the sample standard deviations target the value of the population
standard deviation? In general, do sample standard deviations make good estimators of population standard
deviations? Why or why not?

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Definitions:

Insertion Point

The specific location in a data structure or document where new data will be entered or added.

Modulus Operator

An operator used in programming to find the remainder of the division of one number by another.

Expression

A combination of variables, operators, and values that produces a result or value when evaluated.

Binary Operators

Operators that operate on two operands and perform operations like addition, subtraction, multiplication, or logical comparison.