In a Controlled Laboratory Environment, a Random Sample of 10

question 12

Multiple Choice

In a controlled laboratory environment, a random sample of 10 adults and a random sample of 10 children were tested by a psychologist to determine the room temperature that each person finds most comfortable. The data are summarized below:

$\begin{array}{lcc}\hline & \text { Sample Mean } & \text { Sample Variance } \\\hline \text { Adults (1) } & 77.5^{\circ} \mathrm{F} & 4.5 \\\text { Children (2) } & 74.5^{\circ} \mathrm{F} & 2.5 \\\hline\end{array}$

If the psychologist wished to test the hypothesis that children prefer warmer room temperatures than adults, which set of hypotheses would he use?

• A) \(H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) = 0\) vs. \(H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) > 0\)
• B) \(H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) = 3\) vs. \(H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) \neq 0\)
• C) \(H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) = 0\) vs. \(H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) = 0\)
• D) \(H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) = 0\) vs. \(H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) < 0\)

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Definitions:

Infant

A very young child or baby, typically under one year of age, in the earliest stages of development.

Adult

An individual who has attained maturity and is legally recognized as responsible and independent.

Conservative Views

Ideologies or perspectives that prioritize tradition, stability, and a cautious approach to change within a society or culture.

Liberal Views

Political or social views that advocate for freedom in personal choice, equality, and government intervention for social justice and protection of civil liberties.