A Sociologist Wants to Determine If the Life Expectancy of People

question 11

Multiple Choice

A sociologist wants to determine if the life expectancy of people in Africa is less than the expectancy of people in Asia. The data obtained is shown in the table below.
$\begin{array}{ll}\hline \text { Africa } & \text { Asia } \\\hline \overline{X_{1}}=63.3 \mathrm{yr} . & \bar{X}_{2}=65.2 \mathrm{yr} . \\\sigma_{1}=9.1 \mathrm{yr} . & \sigma_{2}=7.3 \mathrm{yr} . \\n_{1}=120 & n_{2}=150 \\\hline\end{array}$

Calculate the critical value. Use $\alpha = 0.05$ .

• A) -2.58
• B) -2.33
• C) -1.65
• D) -1.96

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Definitions:

Fusion

The process of combining two or more entities into a single one, often referring to nuclear fusion or the merging of cells.

Stability

The state of being resistant to change, or the ability of an object or system to maintain its state when subjected to external forces.

Equilibrium

A state of balance or stability within a system, where competing influences are canceled by others, resulting in no net change.

Allopatric Speciation

The formation of new species through geographical separation, leading to reproductive isolation and genetic divergence.