Determine The $95 \%$ Confidence Interval of the True Difference in the Means

question 48

Multiple Choice

Determine the $95 \%$ confidence interval of the true difference in the means. A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below. Use $\alpha =$$0.05$ .
$\begin{array}{|l|l|l|}\hline & \text { Africa } & \text { Asia } \\\hline \overline{\bar{X}} & 55.3 & 65.2 \\\hline \sigma & 8.1 & 9.3 \\\hline n & 53 & 42 \\\hline\end{array}$

• A) \(- 12.16 < \mu _ { 1 } - \mu _ { 2 } < - 686\)
• B) \(- 13.46 < \mu _ { 1 } - \mu _ { 2 } < - 6.34\)
• C) \(- 11.35 < \mu _ { 1 } - \mu _ { 2 } < - 7.58\)
• D) \(- 16.33 < \mu _ { 1 } - \mu _ { 2 } < - 5.98\)

Define and understand the role of behavioral syndromes in animal behavior.

Comprehend the ecological and evolutionary implications of cooperative breeding and helping behavior in animal societies.

Relate concepts of life span, reproductive span, and breeding systems to the evolution of social behaviors in animals.

Explain the factors influencing reproductive strategies, including territory inheritance and the establishment of nests.

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Definitions:

Average Variable Cost (AVC)

The total variable costs of production (like labor and material costs) divided by the quantity of output produced, indicating the average variable expense per unit of output.

Marginal Cost Curve

A graphical representation showing how the cost to produce one additional unit of a good changes with different production levels.

Average Total Cost (ATC)

The average expense per unit of output, calculated by dividing the overall production cost by the amount of output generated.

Average Total Cost Curve

A graphical representation showing the average total cost of producing different quantities of a good or service.