Find the Requested Probability For a Random Sample of Size Two, Find the Probability

question 39

Multiple Choice

Find the requested probability.
-The table reports the GPA for each of five students in a statistics class. $$\begin{array} { c | c | c | c | c | c } \text { Student } & \text { Maria } & \text { Alvin } & \text { Elvis } & \text { Ingrid } & \text { Rashad } \\\hline \text { GPA } & 3.52 & 3.65 & 3.66 & 3.92 & 3.95\end{array}$$ For a random sample of size two, find the probability, expressed as a percent, that the sample mean will be within 0.1 of the population mean.

• A)70%
• B)80%
• C)20%
• D)30%

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Definitions:

Self-actualize

The process by which individuals realize their fullest potential, achieving personal goals and self-fulfillment.

Personality

A combination of characteristics or qualities that form an individual's distinctive character.

Maslow

Renowned for his hierarchy of needs theory, Abraham Maslow, a prominent American psychologist, argued that to attain psychological health, one must satisfy fundamental human needs in a sequential manner, ending with self-actualization.

Heredity

The passing on of physical or mental characteristics genetically from one generation to another.